If the surgeons want injections, and the patients want injections, and you don't see a contra-indication, go for it. The proceduralist will not necessarily be held accountable for the rest of the treatment plan. I could see an injection gone bad and the plaintiff claiming you should have tried other things first, but you can also argue the other way.
I currently get referrals from a neurosurgeon who asks for specific injections. I see them the day of the injection, and if reasonable, I do it. I don't see it as my job in those cases to go over every medication and decide if they are appropriate, look at how much PT they had and what the therapists were doing, review all injecitons done to date, etc. I do, as part of informed consent, let them know of the alternatives, as well as the risks, and they sign and verbalize their understanding and wishes to go through with the injection.
Interventional rads do this for most of their career. I also do this for MRI arthrograms - Ortho in the practice orders it, I inject the dye before the MRI.
Not all injections requested by someone else require a full work-up by you. If you want to do it, go for it. It might benefit everyone involved. But there are times having procedures tee'd up for you is nice. There are times I am in clinic that I wish I wasn't. Usually it's when I have my fourth new 45 yo female of the day with 35 years of "all over pain" crying and catastrophizing, begging me to give her "something for pain."