My point was more about a local monopoly. If you operate a monopoly, you should relinquish your right to deny whoever you want without cause. I do see your point about not having the right to be served served alcohol within convenient distance.
It sounds like we might agree, but I would further clarify that it depends on the type of Monopoly and viability of alternatives.
The water company shouldn't be able to turn off your water because they don't like your associations or unrelated Behavior. However, if a licensed plumber doesn't want to serve your house because of the flag you're flying in front of it, that is fair game. They might be the only plumber in your area, but the state isn't preventing someone else from starting a business
For example, if the state is protecting the Monopoly from competition, I don't think they should be able to discriminate.
Same with grocery stores. While food is a necessity to live, the state isn't preventing someone else from selling groceries.
Probably not the electric company because they have a state granted monopoly position. However, if the only electrician in your town doesn't want to see you, I think that is within their rights. They aren't public servers and are a private business.