Edit: To clarify, it would be best if anyone that feels they should wear a mask in the restaurant while they wait for the food, be allowed.
As someone that thinks masks work, I got a few takes on this.
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In the USA, a private company can legally refuse service to anyone for any reason except a legally protected reason. If a company doesn't like your shirt they don't have to serve you. But if they don't like that you are gay they have to say they don't like your shirt, if they don't serve you because you a gay, thats illegal.
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While it's stupid that they won't serve the doctor wearing a mask, wasn't the doctor going to take their mask of like immediately after sitting at the table to drink something while looking at the menu? At the very most, they would take it off to eat the food right? So they were denied service so that they could at most wear a mask for like 15 mins while they wait for the food to be made.
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If you have to take you mask off to eat, is it really worth it to keep you mask on for as much as possible? Assuming your intention is not to spread disease from yourself to others, how much more harm would an additional 15 mins cause? I honestly don't know but if it's non-trivial, perhaps eating at a sitdown restaurant (which normally takes longer) is morally wrong. Although, not as morally wrong as denying service to someone wearing a mask.