Maybe the answer is more military SAR since we don't have the JAR/EASA issues and can operate anywhere day or night.
Judging by whats going to happen to Mil SAR fleet over the next few years more Mil SAR is unlikely, all those former SAR aircraft and crews will be far too busy on working abroad!
I do agree with your opinion on night hospital transfers, although tedious? when its life saving/changing to someone, you may not be being asked to hold position over a small craft in a gale but its still essential work. This I envisage being on top of the current AA service available and whos going to pay for this?