I have only purchased H scarves (many) and some jewelry and SLGs from TRR. I got a scarf last week - it was wadded into a ball and stuffed into their tacky bags and then mashed into the H box, from which the tissue had been removed. That is standard for the way that they treat the scarves, and I have to believe, everything else, too. They have been known to list fake items - I think their claims of expert authentication is a joke. But they undeniably get real stuff and I have never purchased a fake from them.
Bags are listed as non-refundable, so you should be aware of that going in. That said, if you purchased a fake bag, I suspect that if you raised hell about it, they would take the bag back. Their practice is to re-list items that they have been told are fakes.
The toughest issue with them and bags is that they take very few, crappy photos and do not capture the things that an authenticator needs to look at. If I were in your shoes, I would look at the first post in this thread and find out which specific photos Bababebi needs to authenticate from and then I'd ask TRR to provide those photos. I would not buy a bag without having it authenticated and I would ask Bababebi to do the authentication, she is the gold standard for H bags.
Good luck, I hope you find the bag that you want!