Wow, disappear for six months, and it all goes to....
Just kidding... ish...
Ethanol4all
Tactical EMS simply refers to the training necessary to care in a non-permissive environment. It's a combination of "tactics" and medicine. There are various courses that instruct Tactical EMS, but for an pseudo-certification, you need to attend CONTOMS, who's graduates are EMT-Ts. Also, there are different kinds of Tac Medics/EMTs, there are your SWAT/SRT/ERT medics, which are trained to enter with the teams, or working with a secondary medical reaction team, i.e. medic up, there are military medics, and then there are PMC medics, which encompass parts of both, but aren't really either one. Anyway, Tac Med is a big term encompassing a lot of different specialties, but primarily concerned with life sustaining care under fire.
Rid
Wow, it seems that I probably agree with you more, the older I get.

The barebones of it, if there is going to be a medic on the team, they absolutely need to be able to shoot. There is a question of how far outside to hold a non-tactical team though. When is the scene safe? etc... However, the majority of the initial care is BLS, could team members be trained to administer BLS care? Hmmmm, Combat Lifesaver comes to mind... There are pros and cons to both sides of the issue, the cons are obviously, life taking medics, the pros are you have medical care onsite immediately after a shooting, there are several documented cases of the tac medic saving the suspect's life, after the suspect has been shot. Remember, it's not shooting to kill, it's to stop the threat, when they're no longer a threat, they become a patient, and look here's the medic now. Hmmmmm, options options....
Sandbox Medic
Okay, just a stab in the dark here, but prior/current mil? Civi is moving more towards the 37mm, but I believe 40mm is still in the civi armory... Anyway, I think that one of the biggest assets of the tac medic, on the civi side is treating the suspect post threat stoppage. SWAT/ERT is a life saving tool, not a life taking tool. Once the threat is stopped, having the medic on scene immediately increases the suspect's chances of living. However, this also calls into question, exactly what is stopping the threat, and when compared to saving the suspect's life, are the two goals mutually exclusive? Your first tactical rule I agree with entirely, your second, I absolutely do not.
Good Tactics is Good Medicine, there is nothing better that you can do for your patient than to remain serviceable to help them. It's just a different type of triage... BTW, there is a serious decrease in violent crime, however the publicity of it has grown... I saw your quote, isn't that from Dr. Brown???
Jmaccauley
I do agree that Tac Med takes a special personality, but not to treat your own team, that's just a given, where it becomes a "special" skill is trying to save the life of the person who maybe 15 seconds ago was trying to take yours.