Actually, it should. If you are a property own want to ban clothing on your property, it’s your Right.
It’s also your Right to lose all your business and go away.
Caveat... If you OPEN your property as a business and invite the public in, then you should expect the public to come in under mutually agreeable terms.
The underlying principle for this is: Public or Private property. To a greater extent, I concur that a Private property owner can make restrictions whereas a Public property owner could not. However, the grey area is when a Private property owner violates law. The slippery slope would be in the creation of those laws that could eventually nullify the rights of a Private property owner.