I don't think anyone would argue against the notion that the video game industry is, unfortunately, dominated by the efforts of chauvinistic proselytes (not necessarily video game developers, but corporate interests). It is very rare to find any commercially produced game with interesting female characters, much less so as protagonists. If the situation is to improve, society's attitude towards women, ultimately, needs to change.
However, even if that was the case, simply avoiding 'offensive' portrayals of women is not much better.
The idea of the strong, silent, non-sexualized woman is itself a clichéd stereotype; not particularly offensive to ostensibly feminist sensibilities, but offering up nothing of value as a portrayal of the 'other' sex. Very often such characters are actually a proto-men - essentially characterized by typified male attributes - and in other cases they are so bland so as they might as well be androgynous.
Of course, there are also unabashedly sexualized and objectified characters; and this is true of both male and female protagonists, with equally repugnant results (though not all of it is bad; pre-eminent examples such as Kratos and Bayonetta are so exaggerated as to be humorous and farcical critiques of their respective stereotypes - though only Bayonetta is self-aware of this fact). However, for the male, this problem is alleviated as what is 'male' has long been seen as the model of the idealized man, and the depiction of men is consequently much broader, subtler and more refined.
As a player (and designer) I do not wish for abstractions of the human essence, however; if a female character is chosen, the female side of the human psyche should be explored.
This, as I mentioned, is rarely done, though Metroid does come to mind as an exception. Sakamoto has been criticized (I think, to some extent, rightly) for eschewing the spirit of the series; however, he is right in pointing out the human and notably female sides of Samus' character. Though people like to think otherwise, we knew something of her at the end of Super Metroid - by my interpretation, she is marked for her professionalism, but is also idealistic and compassionate (quite unusual attributes for a bounty hunter, I should say).
As should be tacitly apparent, I don't have a problem playing as female characters, when done justice, any more than I have playing as a male character. I just find it to be a shame that there are so few psychologically interesting female protagonists.








