I'm a registered vet tech but I don't work in a clinic anymore. Did the clinic thing for about 8 years - it's not for me.
I picked the career when I was 19 and had to do something and I knew a lot about animals and had lots of pets. In some ways the career was an ok fit - I love learning about tons of things, and I actually like babysitting the vets and being a go-between between clients, vets, receptionists etc. I like the busy atmosphere (to a point). I like studying animal behaviour and figuring out how best to approach a particular pet or case. In a good place you get to do tons of different things. I agree there are benefits to working in an emergency or specialty practice over a normal practice.
However, there were lots of downsides for me. As mentioned, the euthanasias. I have killed a lot of animals, starting in tech school. It's really sad and overwhelming sometimes. Most of them are reasonable, but not always. I also had a hard time doing things to animals that feel like torture to them. You are trying to help them, but there is no way to explain that to an animal. And some clients keep their animals alive well beyond what I consider compassionate.
In some ways I think I like animals too much to be a vet tech. I have a hard time with people keeping birds and other small pets in tiny cages and backyard breeders and similar things. Also lots of times when people would bring in puppies and already have 4 kids or not know how much to feed puppy and they were emaciated. And the people who never get their pet groomed or their teeth cleaned or leave it unable to move outside until its covered in maggots.
Anyway, enough of a rant. There were definitely rewarding aspects but overall, as you can probably tell I am very burnt-out on the whole thing.
I did get lucky and work now in a related field making a lot more money than I ever made in practice. And I got my current job because I was a vet tech with lots of experience. There are lots of associated fields, so if the clinic didn't work out for you, you could find something related to do.