And what of my extreme care and huge word count. Does it count for nothing?
Actually scratch that, I hope my positions stand or fall on their own merit and not my word count.
Wordcount aside, I see little merit in most of your positions in this thread. They are badly premised on mostly a series of false equivalences.
Take your claim that the Duel of Wits is the same as a persuasion check. This is a false equivalency on the order of saying that fuzzy catepillars and bears both have hairs and so are the same. It is, on one hand, not entirely untrue. In both the DoW and in some CHA(persuasion) checks, the goal is to get another to agree with your want. Rasputin and Davy Crocket both had facial hair as well. They are still not the same.
So, let's look at the differences:
CHA (persuasion) check:
Who frames the scene: GM
Who frames the conflict: GM
Who frames the action: player
Who asks for the check: GM (any player attempt to initiate a check is gated by the GM)
Who determines the success of a check: GM first, then, if allowed, system
Who determines the outcomes: GM, based on their understanding of the fiction and their notes
Duel of Wits:
Who frames the scene: GM
Who frames the conflict: GM or player (the GM may have a conflict framed in the scene or the player may introduce a new conflict into the scene)
Who frames the action: player
Who asks for the check: GM or player (either the player or the GM can call for a Duel of Wits)
Who determines the success of a check: system always
Who determines the outcomes: on success, the player. On failure, the GM, based on their understanding of player intent
Let's apply this to a topic you're sure to remember: The Burgomaster of Vallaki from Curse of Strahd. In the backstory of the module, the Baron is listed as 100% resistant to attempts to convince him his approach is wrong. Here are relevant passages:
The baron believes that everyone else is beneath him, and those who question his word or challenge his authority must be humbled. He won’t pick a fight with well-armed strangers, however. If he can’t make the characters yield to his authority, he swallows his pride until he can circle around with Izek Strazni and assemble his guards to run them out of town.
and
The burgomaster, Baron Vargas Vallakovich (NE male human), is a ruthless heel who prides himself on his good breeding and finely honed leadership skills. He stages repeated celebrations to foster happiness, and his “All will be well!” catchphrase has become a sad and tiresome punchline. Baron Vallakovich has convinced himself that if he can make everyone in Vallaki happy, the town will slip free of Strahd’s dark grasp.
The baron has a brittle ego, and he lashes out at anyone who pokes fun at his festivals or treats him disrespectfully. He has two pet mastiffs that follow him everywhere, as well as a murderous and deformed henchman named
Izek Strazni. In addition to his weapons, Izek carries an iron ring of keys that unlock the stocks in the town square (Chapter 5,
area N8).
If the characters get on his bad side, the baron accuses them of being “spies of the devil Strahd” and sends twelve
guards to arrest them, seize their weapons, and run them out of town. If the guards fail in their duty, the baron sends Izek to rally a mob of thirty
commoners to lynch the party. If the commoners also fail, the baron summons the twelve remaining guards to defend his mansion, giving characters the run of the town.
From these, the notes clearly indicate an attempt to get the Baron to abandon their festivals will result in the Baron becoming upset and trying to run the players out of town.
SO, in the CHA(Persuasion) format for a scene framed between a character trying to convince the Baron to abandon their approach for a different one:
Who frames the scene: This will be framed by the GM. Let's go with the GM has decided the scene will play out in the Burgomaster's office.
Who frames the conflict: The GM will present the conflict, probably via playacting the Burgomaster for a bit and then waiting for the player to respond. No direct conflict will be presented, only latent conflicts to be discovered via action declarations. Perhaps the Burgomaster will offer for the PC to join the Burgomater in trying to get everyone happy.
Who frames the action: The player will present the action to try to convince the Burgomaster of a different course.
Who asks for the check: The GM will evaluate this action and determine if a check is allowed. The GM may decide that, given the backstory, there's no hope of success. Alternatively, the GM may allow a check.
Who determines the success of a check: The GM does. They may rule that it's a failure no matter what because of the backstory. The may allow a roll and set an impossible DC to represent this. They may decide to let the dice determine how back the result is. Entirely up to the GM what counts as success here.
Who determines the outcomes: Again the GM entirely. If they allow the roll and grant a success, that can look like anything they want -- the Burgomaster may decide that this is a funny joke and explain how wrong the player is but not move a bit on the intent of the action. Or, they may decide, regardless of the check (if allowed) that the Burgomaster calls for guards. Or plays along until he can set up some overwhelming force against the PCs. Regardless, the outcome space here is entirely up to the GM and the GM's appreciation of the situation, backstory, and extrapolation from both.
Now, for Duel of Wits:
Who frames the scene: The GM frames the scene with an eye towards the PC's goals -- in this case, we have to assume that the Burgomaster is being created and framed to challenge a PC Belief or other dramatic need. Let's say that the PC has the Belief "I will stand up against oppression wherever I find it." Hence, the Burgomaster being oppressive in the way they are oppressive is created in order to challenge this. It is not a scene that is stumbled upon. So, most of the backstory here about the Burgomaster's brittleness or reactions to events cannot exist. You cannot prewrite this at all.
Who frames the conflict: The conflict here will be initially framed by the GM. Since the Burgomaster is a test to the player Belief, there must be an immediate conflict -- here let's say that the Burgomaster has presented the player an ultimatum to join his tyranny or be exiled. This will trigger conflict, of which a DoW is readily apparent.
Who frames the action: The player will declare an action in response. If they challenge the Burgomaster with an attempt to convince him his approach is wrong, we have established opposing wants and a non-violent approach, so a Duel of Wits is very appropriate.
Who asks for the check: Either the GM can determine this action fits a DoW and call for it or the player can call for it directly as part of their action declaration. Either is binding on the game -- if the player calls for this, the GM cannot refuse. Play is now about this.
Who determines the success of a check: The system 100% does this work. You follow the format of the DoW, the system provides the necessary format, and checks are made until resolved according to the system.
Who determines the outcomes: If the player succeeds, they determine the outcome -- the Burgomaster will have a change of heart and abandon their attempts at tyranny. On a failure, the GM must act against the player's intent with the DoW. This can be that the PC is instead convinced of the Burgomaster's approach (if this is on the table, it's established as the stakes of the DoW early on and agreed to by the player) and joins the Burgomaster, thus resolving their Belief and finding out that, no, their character will not oppose tyranny wherever they find it. Or, perhaps, the stakes set that the Burgomaster calls for guards to take the PC out of town, exiled.
Hopefully, this clearly demonstrates that saying a Duel of Wits is the same as a CHA (persuasion) check is the kind of false equivalency that pairs nicely with saying that F-35 Strikefighters and tampons are the same because they both (can) have wings.