IV's suck, and as people have stated before, kind of takes away the specialness of your Pokemon instead of making them more special. You don't see them as friends and love them despite their flaws, you see Pokemon with bad Speed IVs and throw them out until you get that magical 31.
Would also be nice if you could manually distribute EVs instead of grinding on the same Pokemon over and over to earn them. >_>
Berries and Join Avenue
Here's the thing about IVs and what you claim as seeing them as friends. If you're the type of person who is breeding for perfect IVs and trying to be competitive, then its likely even if you were breeding them for move sets or maybe to get new EVs going on a blank slate, you weren't thinking of them as special.
IVs don't take away the specialness of a pokemon, its a persons perspective. Heck it could be argued that going for those max IVs make that pokemon more special to the person if only because of the amount of effort put forward.
If you're breeding or looking to be competitive, its a good chance you're going to ignore certain pokemon that you might like the look of aesthetically just because they don't rank up there (Case in point, I love Mightyena, but he doesn't hold a candle to any OU dude).