I agree with docDC.
Providing First Aid/Medical care in the wilderness is vastly different to first aid provided in the urban/rural environment that first aid courses taught by the majority (all) of training providers in the UK offer.
Many of the basics need to be ammended.
Triage: Multi casualty triange in the wild needs to be more along military lines than civilian lines (do you tie up all your medical resource on doing CPR on 1 patient, when 3 others may die from bleeding/shock, as without ALS equipment the casualty in arrest is already dead, CPR only buys time, it doesn't re-start the heart)
Resuscitation: (the potential move to compression only CPR would need to be addressed with a view to maintaining both ventilation and compression based CPR as it is likely to administred for more than 8 minutes). Again see triage above, but some expeditions now carry AED's.
Hypothermia management: is very poor on some of the courses I have participated in over the years. Very little discussion on managing the casualty and stabilising prior to moving casualty (unaware of motion induced VF in the hypothermic casualty)
Fracture Management: FAW/Public first aid courses do not cover this as the expectation is that the ambulance will arrive in 20 minutes. Zero discussion on Femoral fracture/ Pelvic fracture and the major risk of internal bleeding, where stabilisation/splinting of the fracture can minimise the 'potential cavity' around the fracture and thereby minimise any internal bleeding.
Medico-Legal Issues: obtaining consent, death in the wilderness, record keeping, drug administration (by non-doctor/Paramedic/Nurse etc). As well as defining 'Wilderness' legally, remember drastic action taken to save a persons life in the 'wilderness' is viewed differently to the same action taken on a street corner/ local woods. How remote DO you need to be from medical care to be classed as in the Wilderness?? In the US, I believe that some (this may be subject to individual state law) Wilderness EMT's are 'licensed' to carry out extended skills only when more than an hour away from civilisation. Indeed paramedics in some states are licensed to carry out additional skills purely due to the remote locations they work in (transport times to the nearest ER by road are well over an hour away)
Telemedicine: Use of radio, satellite phone to gain additional medical advice/assistance
And of course other issues, like do you give the casualty a drink or not?? Kit selection etc.
Ultimately First Aid is mainly common sense, but medical care (and if you are in the wild with a casualty you'll need to go beyond first aid) isn't.
I'd love to see a course that covers these areas and more in detail, because i'd probably go on it