Before I got into competitive battling, I could have cared less about what nature my Pokémon was. I never paid much attention to what stat it might have some effect on. At that time, I think the only time I cared about nature is when I wanted to match the nature to how the Pokémon appeared. So if it was something like a Ralts I would like it to be calm simply because it's evolution line looks that way.
Even though I barely battle competitively anymore, I still try and find a suitable nature to boost the beneficial stat of my Pokémon. If it's a neutral nature and I'm just playing in-game, it doesn't really bother me too much. Needless to say, only when I'm building a team for competitive play, then I'll really sit down and search until I get the right nature with the best possible IVs to EV train.