I voted YES. I don't think I would actively boycott the business but I plan to carry often after I am licensed to do so. If I am carrying and I see a "No Guns" sign I wont go in, not to boycott but rather to respect that businesses policy. It's their business, if they don't want mine if I carry a gun then they won't get it. I will say that here in KY I have only seen those signs on Government buildings so I don't expect it to be much of an issue.
I work for an international pizza chain. We are not a gun-free business when it comes to our customers, but employees are strictly prohibited from being armed. Oh well if I don't get paid I wont be able to buy ammo or more guns, rock and a hard place.