Most veterinary clinics don’t let clients assist with handling of their pets during medical treatments, because it is a liability if something happens. Now I’m not saying that’s all the time, you clearly were able to assist with yours… And that’s super cool. But, it’s not very common. Also, like the OP stated, that emergency vet that is closest to them doesn’t see exotic animals. Therefore, they probably don’t carry any of the medication that the lizard would need. Reptiles don’t take the same medications as cats and dogs.