Please post something from the game itself (not your summary of it) that indicates its being subversive. Because I don't remember it that way at all.
Sure thing.
Here's an interview on Kill Screen with the writer. There are plenty of instances and examples that show what he was trying to do. As far as an in-text example, I think the giant "fuck you" of you an ending that you get if you decide to stay on the island and win the woman is a clear show that this is subversion.
Here some quotes from the interview:
"[FC3] is not a satire, because for me satire is ironically keeping yourself distant from immersion. But I think it walks the line between those; its a meta-commentary of videogames. So its talking about not just shooters, but videogames as a whole, and what weve turned a blind eye to in videogames. Videogames have all these tropes that they use again and again because theyre easy to design for. I tried to do something where we take those tropes and we subvert them so that they become revealed. Were revealing whats weird about these tropes, and also were trying to explore them from a fresh perspective."
Now, whether or not you think the subversion was successful is a separate conversation entirely. But I think it's pretty clear that the writer wrote Jason as a douchebag's escapist fantasy from the get-go.