A public orientated business is still private property subject to the rules and regulations of the owner. Even a publicly traded company is still governed by rules, regulations and bylaws set up by the board or directors.
The problem with these threads is that they always come down to the same things:
1 - foot stomping over claims of property rights and trying to equate public oriented businesses with private residences, usually by extreme analogy
2 - arguments about the US constitution vs civil rights.
3 - Claims that Joe Employee / Jane Customer is a bumbling Barney Fife waiting to happen, while said owner / manager is always a proficient commando.
The last one, being much along the line of thinking used by the common Anti, who thinks that we need laws, rules, regulations, and other prohibitions to protect people because we all know that the magic barriers, signs, and rule books work wonders