Has anyone else had similar experiences?
None of the games I have ever played in which included female gamers have ever had anything like you describe happen.
While my male friends are more likely to be gamers than my female friends, I only play with my friends, so there's no reason why the guys would act differently at the gaming table than they do when we're going to a movie, or getting together to play
Guitar Hero, or just at a party.
Now, maybe my experience is limited. While I play with women regularly, all of the women I've gamed with in the last few years have been in relationships - so, even if their partner isn't actually in the game, I suppose there's a difference between that and having a single woman the men might want to crack onto.
Still, even if some of these women had been single, the usual dynamics would apply. Not every unattached guy I know is going to be interested in every unattached woman he hangs out with - I know I wasn't, when I was single.
The closest personal experience I have with "potential problems" involving a female gamer I can think of is one woman who was eager to join a particular game because she was interested in the GM. However: a) she ended up in a serious relationship with another player in the game instead (and probably would have even if she didn't join the game, since the two of them were close friends anyway), and b) she was also genuinely interested in the game itself, and certainly remains so even though she's not after the GM anymore.
When I think about it, all of the long-term games I've ever played with this group of friends have involved at least one woman. There were two in the first Third Edition
D&D game I ever played, up to three at one point in a d20
Wheel of Time game, two in the Fourth Edition
D&D game I run now, and one in each of the games I'm playing now (Fourth Edition
D&D and Fourth Edition
GURPS.