I work for the same service as cprted and yes we would go to this call L&S but it seems that maybe some things have been overlooked,
Fell face first out of his wheel chair = rule in/out C-spine. His age alone could rule this in. (Did have a call where a pt fell from standing face first and was unable to get her hands out in time to break the fall, she was dead on arrival)
Good size hematoma = Possible brain injury (just had a call 28 female fell from standing, got up and said she was fine. Next day being medevac for a possible subdural hematoma)
It always amazes me that when people run L&S they think it means they have drive faster to get to the hospital, when in fact it is designed to make other drivers pull over so you can proceed. Here we are allowed to go 25 km over the posted speed limit while running L&S but that is only if it is safe to do so.
It is always better to be safe than sorry, and I think in this particular case you should have gone L&S because of all the factors that this particular pt could deteriorate quickly.