Haymitch x Katniss have tons of angst but he'd sober up for her. And besides unlike Kakashi, Haymitch knows what skills his girl has under her belt. And Haymitch is clever as fuck, and the only one who can relate to her in terms of the brutality of the Games. Peeta is in upper class pretty much and though his homelife isn't great, he doesn't walk away with as many emotional scars as Katniss and thus Haymitch can help her heal. They both help each other heal while kicking ass. <3 Mah babies...they've suffered enough.