it's not going to hurt them to get on the stretcher.
True (unless they are dropped...has happened), but eventually it is going to hurt the provider. it's the repetition of lifting which will cause the problem sooner or later, and look at all the senior EMS providers out there, many of whom are suffering from chronic back pain, and popping pills just to get through their day. Do their employers care? Nope, because the employee is the biggest throw-away commodity out there.
Take your medic class (and good luck with it), are you allowed to do any of the lifting as a student? I know I wasn't, even for the genuine cardiac calls.Why? Because I had no insurance under the system I was riding for, just a general umbrella policy for the school.
So the "lift all" is nothing to do with doing the right thing for the patient, and all to do with the EMS system covering their arse from litigation. If they could have the means to wrap the patient in cotton wool and seal it with clingfilm for transport purposes, believe me, they would be doing it.
That means, if the provider wishes to engage their brain and do what is best for both provider and patient, they should not be put down for it.
Sometimes stupid rules and regulations need to be bent a little.