Correction: it should be irrelevant in a dojo. Whether it is irrelevant is another matter.

Here's something to keep in mind: people who are not targeted by a particular type of bigotry are often unaware of its presence. Partly this is because hostile remarks and behaviors aren't directed at them, and so they may simply not see the bigotry expressed...but also, sad to say, even when it happens right in front of them. Unless the behavior is blatantly hostile, people tend to see many bigoted remarks, behaviors, caricatures etc. as "harmless fun" or "just kidding around" or as insignificant. There are an awful lot of straight people who start acting strange when they have to touch a gay person, or share a changing room with one...a lot of straight people who find an excuse to work with another partner, who make sure they carry hand sanitizer, who suddenly start changing in the bathroom. And as long as they don't say, "Oh, so-and-so is gay, EW," most other straight people are not going to get it. They're not even going to see what's happening. And then they turn around and look at the gay person and say, "Wow, why are you like that, why do you have to make such a big issue out of being gay, why do you have to have a place be 'gay-friendly', do you really want us to put that on our sign (ew), and what about all the other categories of people, do we need to say we're 'friendly' to them too, and another thing, why do you people always need some kind of special accommodation when we're totally accepting???" Et cetera, blah de blah, lather rinse repeat.