I've seen guy's do it. In fact I had a friend that was holding his wifes drink {which they give women special cups as to make sure guys aren't drinking free} and they booted him out. And he was seriously just holding it while she got a smoke out of her purse.
Here we have a club that is women 21 and over men 25 and over....I guess they figure 21 year old guys are really like 15 year old kids....:D Your right about private property/ public access. That's why Augusta National doesn't have to allow women golfers into Da club.