Unfortunately, it’s a matter of efficiency. High volume practices follow the second plan.
Approach one: Think about you and your pet in a room – the doctor walks in, talks to you, examines your pet, walks out, finds a tech, tells them what tests to pull, the tech walks in, gets the samples, walks them to the back, runs them, finds the doctor, who walks back into the room to discuss results, works up a treatment plan with you (if needed), then walks back out, finds a tech, passes on the information, the tech comes into the room…...and none of this includes the documentation required for medical records. They often write their records at the end of the day.
The second plan means that when your pet goes to the back, the vet has examined it and made a list of tests he’d like, as well as treatment options. He then talks to you as the owner and gets your go-ahead, tells the techs to proceed, and they already have everything they need to get pretty much everything done. While the techs are moving ahead, the doctor sits down to write the record and discharge instructions.
(Keep in mind that I’m coming from this as someone who works in an emergency hospital, so efficiency becomes even more vital when patients are critical or dying.)
If you are uncomfortable with your pet being away from you, you should always have the option of requesting otherwise, although you shouldn’t be surprised if it takes longer for you to be seen. You should also always be able to tour the back area to see what the facilities are like, although you may have to wait a few minutes while any procedures that are going are can be completed. But if your vet allows you to restrain your own pet for the exam, that’s a vet who will not be in business long – it is unsafe for the clinic staff, and it is unsafe for the pet owner (vets have – and do – get sued for outrageous amounts of money for owners who have insisted on restraining their own pets and then gotten bitten).
@tingyfairy A surprising number of animals are actually better away from their owners. Aggressively protective animals will often calm down away form their people, and some animals pick up on their owners own stress and fear, making the trip worse.