This wasn't an invite for a vacation.
It was an invite to somebody's house for the weekend. The only difference is the lifestyle of the parents of the friend allow them to have a house in an area the OP cannot afford and to do activities the OP's daughter doesn't usually get to do. But just because the friends are in a different economic bracket that allows them to enjoy their weekends in a second home does not change the fact that this was simply an invite to their home, not some big vacation.
Yeah, it sucks the OP's daughter couldn't live vicariously through her friend for a weekend, but it is no different than a local playdate being canceled due to poor behavior of the friend.
If a friend of mine decided that lying deserved a strong enough punishment that included her daughter being grounded from having friends over to the house, I would support the Mom 100% whether the house was next door or a few hour's drive away.
It is not like it was some big vacation to Disney, Hawaii or somewhere that involved lots of money, plane tickets, etc. It was a invite for a sleepover at somebody's house.
I know many of our friends kids' love taking their friends "up" with them to their weekend houses. Because going jetskiing alone is akin to going to the local pool by themselves. Just no fun, especially for a teen. I think it was a fitting punishment for an infraction as bad as lying.
OP - I would just support the family in their punishment decision. There will probably be another invite soon. And maybe you will be invited too.