sure, but that still doesn’t mean you arrive at the inn.
Also, I find it interesting that here some thugs are a good reason, but nothing ever was for the audience being denied…
The thugs are just something that happens on my way to the inn. They don't inherently thwart my ability to go there.
Maybe I pay them some coin, or Bluff them or Intimidate them, and they leave. Then I continue on to the Inn.
They're not a unilateral blocking of my ability to declare actions per the rules.
for what is probably the fourth time, because one of the two requires the cooperation of an NPC
For the fourth time, so what? I describe what I do, then we follow the rule. What happens with a fireball is stated in the spell entry, and what happens with the audience is stated in the background feature entry. Both dictate what the DM is meant to do.
Also, because the DM decided so, and explicitly has the authority to override it
If this is true, then D&D has no player authority.
how is me saying ‘because of a feud between your houses’, ‘because the noble was let know in no uncertain terms that if he does, that will be very detrimental to his health’, ‘because you are on a different plane and no one recognizes your title’ any more hypothetical than your ‘I run into some thugs / a friend on the way to the inn’?
They are exactly the same, yet you happily offered the last one, shot down all the others and also said you cannot think of any…
Because they don't accomplish the same thing. Here, let me make them similar.
Some thugs accost you on the way to the inn.... but you deal with them through whatever means, and then you went on to the inn.
There is a feud between your house and the local noble house... but the black sheep of the family or other local lord agrees to meet with you.
The local lord is ill... so you have to meet with his son.
Most of the efreet of the City of Brass are uninterested in you... but you fine one Pasha who is fascinated with mortals from the material plane, and he agrees to meet with you.
It's not a case of:
I go to the inn... but thugs accost me, so I never get there.
the rules also say the DM decides, so… not in this case?
Not in that rule, it doesn't say anything about needing the DM's approval, no.
that shows a difference in importance we attribute to it. You have clearly shown that it trumps everything else, we disagree.
Something not being the most important thing, dominating everything else, does not mean it does not matter
I don't think evoking passages from the book that support the idea that everything in the game happens only at the DM's approval really jibes with player agency.