It's not about being pro-smoking or anti-smoking. It's about letting adults make decisions for themselves without Mommy government telling us to put our coats on before we go outside.
You are correct. It is about the property rights of the owner of the establishment.
If you don't like smoking talk to the owner about changing his policy or open your own establishment.
Getting the government involved is a liberal's way out of things and I have a hard time understanding why so many on FR are so gung-ho for it when it comes to cigarettes.