FYI all of the animals you listed are effectively exotic pets, and difficult to very difficult to care for. Most vets won’t/can’t see them, they have highly specialized diets/needs. They have enclosures that require constant cleaning. They are not good first pets. Birds can also live for VERY long times (budgies are on the lower end of the spectrum for birds, but parrots can live more than 50 years)
I mean, that’s great but that’s not the norm everywhere. Yes, there will be vets who can look at them. I’m in a big city so you can definitely find them, but it doesn’t mean they are taking new patients, or that your specific animal is going to be something they know how to deal with. You even said one of the two near you IS an exotic pet vet.
That also doesn’t change their diets, social structures, cleaning requirements, etc. since so many few people have those animals (3% according to you) it’ll be harder to find accurate info about care. Look at how many bunnies get adopted for Easter and then get abandoned because, surprise, they are WAY more work than people knew.