Alright well, if it works for you I'm not going to tell you to stop doing it lol. I wasn't even aware you could trade hits with cat chair.
The way I see it though, I don't think it's really safe to use such a punishable attack on a character that has 10000 damage combos from CH (Haku has 8 stars, but I'm not entirely sure if Rachel gets CH if she gets hit after the super armor of cat chair, correct me if I'm wrong) :/ But like I said if you found a solid use for it, then feel free.