The woman is a pathological liar. It's one thing to deal with weather delays, mechanical problems, and genuine "things that happen" on flights. Sometimes you just have to deal with it. But someone with a rotten attitude like that shouldn't be working at the desk of a lounge which, by definition, caters to loyal customers. I've heard wonderful things about lounge employees going above and beyond to get people on flights and help them with schedule changes. She sounds like she'd be useless in a case like that.

I'd write a letter to the airline.