mil thinking that winching is MIL job, where as it's not really or should not be at all
Not true - but perhaps true to say that SAR (mil or civ) regard winching as a SAR job, because we know how tricky winching can be (not all the time, but every so often).
On top of the points Crab makes, having winches on all helos (ie Police and Air Amb) could well create extra confusion - how would an Ambulance Service controller decide which winch-equipped helo to send? From the examples given, they often have difficulty making the basic decision about whether an incident requires a winch or not - so to have different aircraft which can winch different weights over different distances in different weather conditions could be v confusing! At least at the moment every winch-equipped SAR helo has a (reasonably) powerful winch with a reasonably long cable and is equipped to fly in most conditions.