And in most cases, in the areas I've lived in, you have no right to refuse service to "certain people". So, yes, this seems just as bad as a baker who would refuse a certain subset of people from even entering his shop.
And in most cases, in the areas I've lived in, you have no right to refuse service to "certain people". So, yes, this seems just as bad as a baker who would refuse a certain subset of people from even entering his shop.
I think it varies by state, but as long as the banning isn't because you're part of a protected class[1], a private establishment can refuse service for any reason it sees fit, including none at all.
In any case, I was just correcting your analogy, not your premise.
Just because the door is open doesn't mean that everyone is welcome to go through it. The same holds true for websites just as it holds true for grocery stores.
The way that works is that someone entering a public shop has implied license to be on the property. But that implied license can be explicitly revoked to exclude specific people.