I liked (and still do like, although I haven't read them in a while) The Hunger Games but I won't deny that there's issues with it. There's some points in the linked articles that I think are stretching it though (the 'she's only a badass in front of men' point jumps out at me, I'm fairly sure there's women in the scene the author of the articles is complaining about and Katniss already shows she's a capable archer well before that, with and without an audience).

I'll also agree with you with the last book being kinda terrible, it's way too removed from the tone of the first two and there's a lot of things that seem really lazy (Prim being offed, Gale being effectively written out so that Katniss/Peeta could be a thing without issue). :T

I hope your physio goes well, by the way!