Personally, I'd be happy to lose the experience of travelling, playing shows, and being implicitly associated with a bunch of (allegedly) racist, homophobic toolbags.
I see what you're trying to say but I'm afraid you're thinking too deeply into it. Have you ever heard of a band getting a reputation for poor judgment or hatred just because they shared a stage with the band who has done something stupid or mean? Nope. I can clearly remember a band we toured with using homophobic slurs about another band on the tour via twitter. Neither my band, or the other band involved were ever considered to be homophobic or insensitive. Also, you misunderstood me when I said "experience". I was speaking more along the lines of experience in the terms of "practice makes perfect". Every missed show is a missed chance to improve your show and if they truly care about their performance/legitimacy they wouldn't cancel shows just to prove a point to another band. Like I said before, they're only harming themselves by canceling shows. It reflects poorly on them. Agents/managers/labels and most importantly FANS don't like bands who are quick to cancel shows, especially over something as petty as personal beefs that should have been kept "backstage". If there was something along the lines of violence or anything risking the personal safety of the band or crew, that's a different story and it becomes entirely understandable. Like I said, I know nothing about the full situation, but as a member of a touring band, I think it looks bad on them for canceling a tour over some offensive language or lack of chemistry between the bands and blogging about it.