I wouldn't want my bar area stuck back in the alcove like a closet.
It's hard to tell if you have a door planned for that area or not, but that would make it even worse. Also the row of pinball machines also further separates the space. Im just more of an open concept guy, i actually built my basement into a multipurpose open room... bar/arcade/theater. Projectors have come a long way... you can light up a large screen in a fairly bright room even. Awesome for sports get togethers or just general having friends over. Movie nights are just a family thing at our house. So if you wanna go full on theater mode, hit the remote to drop the blinds and don't let the kiddos play pinball during the movie. Picture quality of my setup is incredible in dark room mode, and still nice with just the lights off in that area. I couldn't imagine having all separate rooms myself.
Another thought is, can the gym move to the garage level? maybe add an extra bay for that. Thats where ours is and we really enjoy being able to open up our gym to the outside. I get making the wife happy, but the room dedicated to message table seems like its gonna be a huge regret down the road.
I know a handful of people who have had spiral staircases and absolutely hated them. FYI.