jackjack - that downed military personnel was the original concept of ops but we have moved on from WW2 - 95% minimum of our jobs are civilian rescues and more than half are inland. It may still be our priority but it is not a very regular occurence.
We don't have automatic rights to overland winching but we are the only ones to do it at night and will be in the future, regardless of how many AA get winches.
This is not a protectionist standpoint, SAR and AA fulfill different roles with a small amount of capability crossover - I believe the need for AA winching does not justify the cost or the extra risk to the crews.
USAR teams are likely to be at least as big as MIRG teams and therefore you need a big helicopter to get them and any kit in, so SAR (whether mil or not) will still be the answer. Some Fire Brigades have mooted the idea of having their own dedicated helicopters but, since government funding for normal Fire Brigade ops is dwindling, this is unlikely to come to fruition since the capability (in the form of SAR) alrerady exists.