Angie, where are you reading these gems?..
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I think this is like saying, "Honey, take a solo vacation in Hershey, PA, and make sure to tour the chocolate factory, but don't you DARE eat any candy while you're there." In other words, wholly unrealistic. It's OK that he goes to the strip club? It's OK that he gets lap dances? But it's not OK that he indulges in the temptation that is literally being waved (or jiggled) in front of his face? That's expecting too much. If you are going to "let" your partner go to strip clubs, then you need to face the facts of what is likely to happen to be instigated there. If your partner is going to balk when you draw the line, then perhaps he ought to steer clear of Scylla and Charybdis, as it were...

Well, there's no real sex in the champagne room. I'm not sure I'd have that much of a problem with it. It's not like he did anything that could get him an STD...
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I wonder why he TOLD his girlfriend...