I also am a person that's rather picky with natures; if the Pokémon that I plan on having on my team has a crappy nature, it gets tossed out into the pit. Everything else I don't necessarily care about, as I'll never use them.

However, I don't care about their IVs, as that's too much hassle for me; EV training my team is hard enough for me, especially if I don't have a WPM (Wild Pokémon Modifier.)