Green Knight,
If someone has injuries such as you describe, then they're coming up in a stretcher. If however, they're in the water, as described by Halton Brat, they're coming up double strop.
I don't know if you've ever tried getting someone into a stretcher when they're in the water (I have) but it's nigh on impossible.
I've used all 3; basket, double strop and stretcher. They all have a role to play.
Sun.