All the things you listed MAKE it a hit piece. You don't go digging into people's personal family lives to gather "evidence" on them to prove something negative unless you are writing a hit piece.
She obviously feels like it is, and you certainly aren't more qualified than she is to decide if something is a hit piece that has everything to do with her and not a damn thing to do with you. You don't know shit about the story behind any of the things in that article. She knows about all of it.
So, in summary, I'll take her word over some jackhole at a liberal propaganda media outlet and his mindless, mouth-breathing minions on the internet.
1) not true. Reporters write features on people all the time and explore the entire human being. To do that you have to talk to a variety of people, family, friends, coworkers, players, former players, former friends, fans, bosses, etc. Happens frequently in politics, but also in sports. You value it when it's about a politician you don't like.
A fair-minded person appreciates learning about the warts and the good stuff, not just flowery puff pieces that aren't an more total assessment of a human being. There are dozens of articles from LSU and Baylor beat writers about how great Kim Mulkey is and her opinion of herself is fully covered.
2) She can feel it was unfair and awful- and she can be wrong. Some coaches think everything not glowing is unfair. Some politicians think anything not overflowing with flowers and unicorns is an attack.
The person featured isn't objective. No reporter or anyone else can be afraid of how something will be perceived by a coach, or a politician, etc.
Puff piece coverage is the type of coverage that people viciously attack all the time on here when it involves Clemson based reporters covering Dabo Swinney.
3) You are free to take her word for it all you like. On the other hand, I prefer to hear her opinion but also the opinion of others around her- friends, family, coworkers, players, former players- to get a more complete view- not just her view of herself.