Ricochet
Explorer
As one of "those people", I'd say that any loosening up on my part can be directly attributed to having to verbally communicate with the DM for everything during my turn, which has non-negligible time costs compared with doing it all in my head when it's not my turn.
The weight never comes off my shoulders to maximize my round, it's just that that desire must be weighed against the time it takes to achieve that maximization.
That's actually really interesting. I'll ask the two players in my long campaign about it when next we play.
On that topic (and this isn't an attempt to be confrontational or anything), but don't you and the DM get a rapport over time, so you see the same "scene" that is taking place? That would in theory gradually lessen the time cost the more you play together.