Though I've never EV trained in my life, as my parents smashed my DS before I even knew what that was and why natures were so important in the game (besides for feeding Pokemon the "right" PokeBlock or Poffin), I personally think that it's awesome and stuffs, though quite tedious in many ways.
First thing is breeding for the Pokemon with the right nature. Gosh, with so many natures, and each Pokemon getting the same chance of getting each nature (unless your Pokemon had an everstone, but meh), it gets really annoying quickly.
Then there's the actual training. Which takes forever. I swear. I've seen a friend do it while on a trip, and he didn't get very far by the end of the trip. Which, I tell you, more than half of the time we were sitting in a bus. Driving. From place to place. And every time we were on a bus, he would sit there, EV training.
I guess EV training is a good way to pass the time if you're bored out of your mind, which I usually am now that I'm in summer vacation. And I guess I could love it. But battling the same/similar Pokemon can only make you not bored for so long, so yeah.
Guess what I'm saying is that I would like it because it helps my Pokemon and is a good way to waste time, but due to the person I am who has little patience, I would end up going berserk to fully EV train a single Pokemon, let alone a whole team. ^^;