Not really, no. That is not usually what people mean, when they say "take a political stance".
We can extend this to other examples. Do you think that a grocery store should ban people from their stores, if the individual is wearing a pro Trump, or pro Biden Tshirt?
I think it would be pretty silly to condemn a grocery store, for refusing to ban people from their stores, if they were wearing a "Vote for Biden/Trump" shirt.
Most people would find it absolutely and completely ridiculous to ban people from stores for doing that.