Disagree slightly.
Medics don't mind the TQs, some just don't want to put on armor and sally forth into a hot or warm zone. It's not what they signed up for (same reason many paramedics balk at fire-based EMS systems). They're perfectly fine with applying a limb TQ in a safe area like the back of their ambulance.
Cops, on the other hand, tend to be reticent to engage in medical care at all--especially those with time on the job. Again, it's not what they signed up to do. There is a cultural shift happening that is changing that, but the problem does currently exist. We're starting to see more TQs placed by cops (anecdotal at this point), but most think of TQs as being for their use instead of for use on citizens.
I wouldn't have responded had I seen your post.