Vet A sounds like he's closer to following Dr Dodd's vaccination protocol. Immunizations at 8 and then again at 10 weeks are too close together.
Dr-Dodds-ChangingVaccProtocol
I follow Dr Dodd's protocol. It took some convincing to get my (old school) vet to go along with it. But after she did some research, she agreed that it is appropriate for my dogs. It bums me out that she has since retired, so now I have to get the new vet on board.