...Litigants can insist until they're blue in the face that some economic activity is a "business" because the state says so, and is "public" because the state says so, but none of that will magically transform the private citizens engaging in that economic activity into a state.
And neither will that transform the agreement the business made to serve the whole public,
I take it that's one of those agreements like our "agreement" to obey the King and our "agreement" to maximize the utility of the least well-off person, where the agreeing part was
by proxy, performed by Hobbes or Rawls on our behalf, acting in the philosopher's role as loco parentis?
nor the real responsibility they have to do so on a philosophical level.
Is that the philosophical level where your philosophy identifies an objective, intrinsic, cut-nature-at-its-joints, reproducible-by-other-scientists, distinction between a "business" and a "job"? Or is that the philosophical level where your philosophy identifies a "real responsibility" all workers have "to serve the whole public" and do the bidding of any random member of the public who'd like to be their boss?
What is clear is that some folks wish to have a public facing business with an open door and then pick and choose who they do business with, throwing fair practice out the window.
What is also clear is that some folks wish to have a public facing business with an open door and then pick and choose which types of jobs they will do, and some folks who don't like the choice will try to coerce others into doing their bidding by making unsubstantiated accusations about the criteria they're using to make their choice.
Anyone who rides in on that horse can ride out on a rail for all I care.
Get on the rail then. You rode in on that horse the day you claimed it was okay for a person with a public facing write-your-message-for-you business to refuse to write "Judea and Samaria are Eretz Israel" because it was "Libel" against Arabs.