Actually those videos are most likely army medics doing the NREMT basic testing portion of their training, which is a very small amount of what they learn overall and somewhat different from how medics in the field do things.
Being a combat medic is a lot different from being a civilian one, you have to be better at improvising and have a whole host of considerations a civilian medic has no clue about. Not to mention the conditions you operate and live in are a hell of a lot rougher. On the flip side an army or navy medic isnt going know a whole lot about what to do with some medical situations like an MI or CVA, or dealing with pediatric patients.