I know HP are an abstraction. Since D&D is a heroic fantasy game (not gritty), I'm fine with them. Heroes have lots of HP. I'm actually a (tongue in cheek) fan of renaming them "Awesome Points", because you survive crap like being bitten by a Tarrasque out of sheer awesomeness.
But I also expect everyone to have their awesomeness abstracted away using the same algorithm. They may come at them from a different angle, and I appreciate the "shortcuts" by which Brutes and Artillery determine HP, but the Minion rules suddenly have 1 HP, which just screams to me "This isn't a real creature, it's just a movie prop." It's as believable as a plywood F-22 with a bad paint job.
I disagree with this. I need both. You can see my sig below, and it's very true of my playstyle. I like things to be "emergent", where simple but consistent rules create complex systems and stories. I don't approach any D&D campaign with a predetermined story which I'm going to "tell" to the PC's. The "narrative" is jointly discovered, and it can take surprising turns when combats or RP take unexpected twists.
That's what bothers me about Minions. They're a statement by the DM that "This isn't a serious challenge. These guys only have one purpose, and that's to make you feel cool as adventurers." Well, I don't like playing those games. Both from a DM's point of view and a player's point of view it's a hollow victory, with a predetermined outcome. It's like a fixed boxing match, or WWF Wrestling (neither of which I can't stand).