Being a manager of a Non-Smoking establishment, for one I can say that the bouncer/business does have the right to ask you to leave their premises for any reason. Smoking/Vaping is all the same in the eyes of a crowded entertainment business. I've posted this story before but will say again:
Before I knew anything about e-cigs a customer was using one in my establishment (bowling alley). Another customer complained about it so I went down and kindly asked the person to step outside and smoke. He explained what it was, however it does look like you're smoking, and having to explain to 20 other customers that were around him at the time, just wasn't worth it. I still asked him to step outside, which he did.
In my business, as well as any other business, even if someone doesn't complain, they can still be upset and leave without saying anything and never return. Then they leave and tell all of their friends that my business turns a blind eye to smoking. Since they were non-smokers, I have to assume their friends are non-smokers so I'll also lose their business. It's a trickle down effect that could be very costly for me. The same with any other business.
I vape now, but still do not allow it in my establishment for that reason. I do it behind closed doors, and allow my employees to do it out of sight from customers..
Personally I can not fault a non-smoking establishment to also not allow vaping...