I definitely pay attention to them when training. That goes for all of my Pokemon, be they caught, bred, gifted, "in-game", w/e. They're a pretty important part of how they're gonna grow and battle. So its always nice to get one and find that it has a good spread for its skills. And the personality traits attached to IVs gives the whole Pokemon experience a bit more life to me.
At the same time, I don't feel the need to go out of my way for perfect IVs. I can still play and perhaps win with those who lack the best IV spreads (provided the training & strategy are good enough), and the ones that do have them could still potentially lose to better tactics.