On a special attacker, you want 0 Attack IVs to minimize confusion and Foul Play damage. On a Trick Room team, you generally want your Pokemon to have 0 Speed IVs. When are things like 0 HP, Defense, Special Attack, or Special Defense good to have?
Well, as Porgonzangoose was saying, if for some reason you know you are going to run into wring out, then minimum hp. You may want minimum sp def if you are running some crazy gaurd spilt strategy, as well as 0 def, so when you average those stats out and then they have less defenses. Much the same with sp atk, with power spilt. While all three of those are very uncommon and have a good chance to fail, it is possible to use 0 ivs for every stat and have a possible strategy come out of it.