They didnt join the military after all.
No, but they are all volunteers and expose themselves to very risky scenarios on the sides of mountains in atrocious weather so you shouldn't deny their willingness to accept every risk. Yes. try to minimise risk where possible but SAR isn't a risk-free business (well unless you don't actually want to rescue anyone) whether done by MRT, RNLI, heliSAR or anyone else.
The engine-failure in a twin is so unlikely nowadays, especially in modern, state of the art helicopters that avoiding ever training when not OEI capable is frankly overkill and makes training properly far less likely.
The aversion to hovering committed became very high-profile on the Sea King following the OTG problems - not actual engine failures - and plenty of people got very precious about it. During the period we were trying to mitigate it, the quality of our training went down dramatically.
Remember, you are not training for the easy jobs, you are training for the hard ones and, if you don't accept some risks in training, you will be poorly prepared for reality.