I don't know the controversy but like 99% of game protagonists have absolutely zero personality so it's expected for women characters to also have no personality and be interpreted as objects since women aren't really anything else but love objects when you take away their personality. See: grey garden, wadanohara and the great blue cunt
On the flip side there are autists like Tony who think any kind of depth given to a female character is a forced leftist tactic which is pretty stupid.
Games should be focusing more on character development and use key differences between lovees as foundation for personalities, just like in real life. Like we have games where you play as hot female bounty hunters and assassin's who could easily be male by all intensive purposes. But there are no games with like, a pregnant protagonist, that explore maternity and build the character around their choices. In that sense games with females can seem pretty forced because they could just as easily be male, but they aren't because of some ambiguous social pressure
Heavy rain did a great job with it's characters and especially the dad character, since they built his personality around his paternal emotions and struggles. Games need to do more of that but with girls. Doesnt need to involve children, but it should involve an intrinsically female characteristic (rape victim doesn't count)