Is it?
Talking about restaurants, I was once with my family in La Gondola when the Rosh walked in with his wife (A"H). He saw me eating there and then walked right out much to his wife's protests...
Sure. Exgingi just said that, some people eat based on the owner, not the hashgocha. Different thread I think.
My Rebbe would never eat in a restaurant owned by a non jew, and cares much more about the owner than the hashgocha. If the owner wouldn't eat there himself that would be disturbing.
As long as they clearly put the hashgacha on the ad I couldn't care less if they bring their own food or not. If he wants to be makpid to bring his own homemade food with him that doesn't mean his wife now has to cook for the entire place.
I think you may be the exception to the general populace.I think there would be an uproar. Again, chabad minhagim on pesach may be the exception.