being
Did they say "in the same way being trans is?" A person's identity encompasses far more than just their gender and sexual orientation, things like hobbies or career or group affiliations are absolutely part of who a person is, so being a band member would fit. Not in the same way or for the same reason, but they didn't say that it was.
A bill prohibiting fursuits in class, beyond how rare it would be for a student to have one in the first place, would be redundant anyway, because I'm pretty sure such things wouldn't fit most schools dress code anyway