The way both threads were worded have nothing to do with the gender of the character. They want games that are for guys to play, and games that are for girls to play. Seto is correct, the question is weird and kind of ridiculous. 'Games with a male protagonist' and 'games with a female protagonist' have nothing to do with 'games specifically meant for a particular gender of player' anymore than that applies to any other kind of media.
Which is why I'm still waiting for Ayame to explain what exactly she means by guy games and girl games, and what kind of criteria she uses to determine if a story is one or the other.