Considering the topic is vague, leading the question, and showing a profound misunderstanding of the power fantasy topic, you're probably not going to be getting any actually useful data out of this.
A power fantasy does not have to be about wanting to be like the character featured in the fantasy, Kratos is pretty much a textbook power fantasy, but I doubt many people actually want to be a genocidal monster on any realistic level. A power fantasy hinges around experiencing a sense of power, people like the visceral combat, they like that Kratos is a driven, competent, badass, and playing as him can give players a sense of power and control that thrills them. That's part of why the God of War games are popular, they present a fun sense of power that allows players to cut loose in ways they wouldn't or couldn't do in reality.
But people don't actually aspire to BE Kratos, they just like playing as him because he fulfills a sense of fantasy that people know is impossible or undesirable in a real setting. Now power fantasy characters can have aspirational traits, people may not want to be an ugly psychopath like Kratos, but they can find his determination and competence admirable. The existence of admirable traits doesn't really effect his status as a power fantasy though, so whether he is aspirational is irrelevant to his status as a power fantasy character. Plenty of deplorable villain characters (like the various GTA protagonists) can exist as power fantasies, they exist to give the player, reader, or watcher, a vicarious experience that we can't or won't experience in reality.
In relation to gender politics in gaming, the crux of the issue is that male characters are generally designed by, and targeted at Male audiences, while female characters are also primarily designed by and targeted at male audiences. The power fantasy argument crops up when people try to pretend Kratos running around shirtless is the exact equivalent to chainmail bikini armor and sexualization in female game characters, i.e. the: "See! male characters are sexualized too!" argument. The rebuttal to this is to state that skimpily dressed female characters tend to be sexual fantasies, while skimpily dressed male characters are power fantasies.
To elaborate, the key difference is intention and presentation. Kratos is shirtless to express his power and fighting ability, him showing skin plays into a narrative to make him look more powerful to players, the camera doesn't focus on his ass or try to paint Kratos as something female players should desire to have sex with. Conversely, Rachel from ninja gaiden poses for the invisible camera, and her outfit is in service to attempts to sexually excite the male players and audience, rather than trying to say anything about her character. In one case, the character exists primarily as a power fantasy, in the other, the character primarily exists as a sexual fantasy.
