Ouch. I've been nursing a knee injury the last 30 years which was never treated properly and I'm not able to run.
I agree about being able to show them the form, consider getting a friend to come along to demonstrate something rather than just using video, as that lets the provider move around them and repeat the move with variations to judge fully how the body moves.
I don't think surgical and neurological specialists don't need to be expert in the field but can evaluate from seeing the range of movement (more below).
For physiotherapy, I would urge you to get someone familiar with treating athletes. I have been lucky enough to find one who is a regular traveling physio for tri-athletes. So, when asking about their experience, ask if they have regular teams or particular clients. Physio knowledge of how people respond when healing and particularly safe ranges of movement is more dependent on experience. It's not just about understanding the anatomy but from a lot of experience on how people react to different treatment and a longer-term view of wellness.
I recommend taking up Tai Chi as soon as you can move enough to do it. Not only will the gentle loading help, it may dramatically improve your healing (I've actually healed a minor torn meniscus which at the age of 55 was told I was too old to expect to heal and that surgical repair wouldn't be attempted).
My woeful hand story
Many years ago I started learning double broadsword. That includes a figure-8 twirling move which I couldn't sustain for more than a couple of minutes with my left hand.
I was extremely lucky that the instructor was a qualified doctor who, on examining my hand, diagnosed ulnar nerve problems based on the loss of sensation and particularly the withering of the muscles around the thumb. She had a list of four neurologists for me within a week and a warning to treat it as urgent.
The neurologist walked me through a long description of habits (sitting with head propped up on hand and elbow fully bent being a bad one) and especially training.
I demonstrated for him one of the quarterstaff drills I used to repeat 200 times every morning and he went noticeably pale. He said if you were trying to design an exercise to damage the ulnar nerve it would look just like that. The combination of twisting motion as you fully close the arm (dropped elbow) and pulling the hand back to the shoulder is like putting a couple of vice grips on the nerve either side of the elbow and stretching it.
Oh, and also doing heavy weight curls all the way to the shoulder is nearly as bad.
So the combination of experience and observation paid off!