That’s what I would say. However I’ve not found a definition of creed that expands it beyond religion. If it only covers religion then it’s redundant since these antidiscrimination laws almost always list religion as well.
So who can businesses refuse service to?
These signs also don’t allow business owners to refuse service based on arbitrary reasons outside of the protected classes (though pointing out signs to cries of “No fair!” might avoid any further action on the part of spurned patrons). Instead, reasons must be legitimate enough to hold up in court. In general, refusal of service is justified in cases where a customer’s presence interferes with the safety and well-being of other patrons and the establishment itself. The most basic examples of this include patrons who are unreasonably rowdy, patrons lacking adequate hygiene, and those accompanied by large groups of non-customers.
The whole thing can be found at https://www.mydoorsign.com/blog/right-to-refuse-service-to-anyone