I grew up in a vet hospital and am a bit of a maniac about instilling vet manners–if a dog won't stand for routine work, you will be in real trouble in critical care situations. I've had thankfully few occasions to test the good nature and thorough training, but it has happened--my dad once had to do an unsedated emergency spinal tap on my big dog and was blown away by how compliant he was. Big cheers to you for spreading that excellent advice!
Manners are great, but if the dog is in pain you are dealing with a potentially different animal. I've had Basenjis that were stoic…..helping them when they were hurting wasn't difficult......and I've also had the ones that go nuts when in pain, trying to bite anything and anyone that comes close. My show girl, Tamu, was like that. But I agree, every dog should learn to behave when at the vet for routine matters. My niece is a vet, and she tells stories of some of the dogs that come in totally out of the owner's control and a danger to themselves and everybody who has to deal with them!
I will be interested in how you make out with your girl. I've had a number of dogs with 100% reliable recall, and one of them was even a Basenji, but it certainly is harder with some breeds than others. My Border Collie was rock solid, as was our family Sheltie and a number of other dogs I've worked with, including a Greyhound. Never say "never", but even with extreme distractions these dogs always responded when called.