'Hate' is a pretty strong word to use in this context but I agree that I don't really prefer having friends who are in the same quadra. Compatibility within the same quadra probably becomes more important for the long-term or at super close psychological distances, eg. romantic relationships, familial relationships, but for friendships, almost all my friends are from different quadras. I especially love SEIs, IEIs, ESIs and ESEs. As for friendships with my quadra mates, IEEs seem too flighty for me, LSEs, too abrasive, SLIs and EIIs, too difficult to find/identify so I haven't had sufficient experience with them.

I have had romantic experiences tho with SLI and LSE, and it was great. I don't know, I think I view friendships and romantic relationships quite differently, and therefore expect/want different things from them accordingly.