The culture wars are exhausting in general, but the way people on each side are endlessly maneuvering to make and keep profits as a direct result of them is genuinely soul-crushing.
That said, I feel about Pride jerseys about the same way as I feel about the military displays, the anthems, prayers at sporting events, and other performative-for-profit stuff that has little to do with the actual sport. If I thought for a femtosecond that Pride jerseys were actually meant to do what the teams say they are - provide a welcoming sign for people who feel marginalized and make them feel included - I would feel differently.
I should point out, though, that I'm OK dropping Pride jerseys because they're shameless cash grabs... I'm not OK with it if they're doing it to kowtow to the FCA.