so, let's talk about the chess game a little more thoroughly
in the chess game (from falsettos, idk if that's apparently clear, "a chess game" could literally be anything lol) there's a pattern of impatience that follows the two main characters.
Marvin's impatience is fully one-sided, you can see as Whizzer begins the game, he's insistent for him to get his turn over with, even going so far as to (quite condescendingly) ask if Whizzer wants his help. But then the moment it's his turn, he takes his time despite Whizzer having rushed his first move.
I think this might stem from his constant need to "help", or rather, control every situation. He thinks it's always his job to be the leader of every circumstance, as the stereotypical man.
It definitely comes from a childhood of commanding others around and not having a heavy amount of discipline for his actions.
Otherwise, Marvin taking time to calculate his move shows that he's careful with his own placement in life. A life of tiptoing around himself and never actually accepting the full extent of his personality, or sexuality has made him incredibly courteous of where he stands. Maybe it even came from his relationship with Trina, how not being careful led him to being forced into an arranged marriage.
Meanwhile, (and I know I've gone through this bit before in other posts but yes, thanks, I need more appreciation on William Finn not just victimizing Whizzer. Like, he's not that great either guys. We love him, but he isn't perfect.) Whizzer uses the game as a strategy to get Marvin on his side.
Although instead of healthily sorting through his MASS amount of issues, Whizzer pretty much just ends up manipulating him into throwing the game. It's interesting because Whizzer has an opportunity to discuss all of the problems they have with Marvin.
They're in a place in their relationship where he can clearly just throw anything out there, but then he strikes back with anger instead of trying to actually figure out the main issues and help them both through it, effectively shutting off Marvin's ability to actually listen to anything he has to say.
The chess game was actually staged so perfectly, because you can clearly see all of the toxicity in one contained place during that song. There's obviously snippets in others, Marvin's inability to change and Whizzer's insistence not to change because changing would mean they would have to actually talk about their feelings toward each other.
anyways, these are just my thoughts on this :) none of its fully canon, I was just watching through clips of the proshot and realized some interesting things