Well, looking back at your pics of them, I don't see any kind of unusual puffiness, so I'm not really sure what he's referring to when he says the skin is puffy. Another picture, one of them "tucked in" would be a big help. Either way, stick to what's listed and they'll do great.
Just because he treats reptiles, doesn't mean he's a "reptile vet", ie a specialist. The fact that he didn't do a fecal is troubling. Eyeballing the poop isn't enough, it needs to be examined under a microscope. Coming from Petsmart, it's pretty much guranteed they have parasite blooms.
Please, keep in mind I'm not trying to trash your vet or anything. It just doesn't sound like he knows the proper care for RTs. It's just that unless they're reptile specialists, and even then, many vets don't know the proper care, it's not that they're bad vets, they're just not familiar enough with the particulars.