What interests me is how people don't view combat in the same way.
Somehow, rolling in combat is perfectly fine. Often accompanied by elaborate descriptions of actions. "I swing my sword low, and then spin and bring it up high, slicing him across the chest!" and similar. Somehow, the rolls in combat are either perfectly acceptable as is, or are otherwise not an obstacle to narration.
But rolling for a social encounter? Suddenly the rules "get in the way".
Because in Combat, you declare an action, the outcome is determined and than the action and outcome are described:
"I attack the Orc with my sword."
"Roll an attack."
"That's a 19."
"That's a hit, roll damage."
"10 Damage"
"Nice, tou all see, that Fin the Fighter draws his Sword, swinging at the Orc. The Orc tries to raise its shield, but it is to slow. Fin slashes wide open a big wound in the chest of the Orc, who growls in Pain."
In a social interaction, usually the action is described first, and based on that action and outcome is determined:
"Fin says to the orc: stand away or I will cut you!"
"Make an intimidation check"
"It is a 6"
"The Orc laughed and raises his Axe. Everybody, roll initiative."
So, in Combat, we have the Action declaration, the outcome determination and than the action and outcome description.
In social interactions we have usally the action declaration including the action description, then the outcome determination and then the outcome description.
For social interactions that can lead to a dissonance.
Like a players gives the best speech and roleplaying performance ever that in reality would make any king give up his kingdom, but than he rolls a Nat 1 and his character gets killed.
In Combat, the outcome is first described and then based on that, the action is described. If he rolled a 1 on the attack rolled, "Fin fumbled with the sword and couldn't bring it to bear against the orc" or a natural 20 "Fin, with on swing, hacks the Head off of the orc."
So, in 5e, if not be done carefully by the DM, how I describe my action in an social interaction doesn't have any bearing on the outcome. If I roll a nat 1, nothing what I said mattered. I failed.
Of course ... you could put the roll in front of the action description. Handle it like combat: declare an action, but don't describe it, with for the outcome determination and then describe the action based on the outcome.
"I want to intimidate the Orc"
"Make an intimidation check"
"20!"
Now he can describe a coom phrase. If he rolled a 1, he could describe how he stuttered and couldn't get the words out to really intimidate the orc.
But ... seperating the action declaration and the action description in social interactions kills any ryhthm. It slows it down to a crawl.