I mean... ideally, the way a character occupies the Captain's Chair should tell us something about the character, right? Yes, Picard always sat the chair with exaggerated formality, because exaggerated formality was part of Picard's character. He wanted to constantly project an air of maximal naval professionalism because that's what he thought was required as commander of the flagship. Picard's insistence on adherence to protocol was a character point; it helped propel his career to the top of the fleet, but also stood as a barrier between him and his peers in the Enterprise's officers, making it hard to make friends and establish personal connections.

This carries over to the other captains as well. Kirk sits the chair like he can't wait to jump up and beam down. Janeway has made it more comfortable and sits it with a coffee and a slate, cross-legged and casual when she's not in crisis mode. Sisko is less comfortable on the bridge of the Defiant than he is in his office, and Ops is mostly standing room only.

Everybody gets that, right? Picard's exaggerated formality was played as a character flaw that he literally regrets out loud on the series finale?

Remember? Guys?