I think it’s okay for a public venue to deny people access due to something being present, but not due to something not being present.

For example, I generally support laws that let people go topless or nude in public. But I’m okay with places banning people due to clothing choices… like all white conical hoods.

Those are exactly the types of things I'm trying to get the GGP comment to elucidate on. Mine was not a comment making a judgement, but seeking clarification on reasoning, by providing a case many could and would agree on to contrast against, in a similar vein to what you attempt to be doing.