Not in my opinion
Haven't flown a B3 but have experience with the 2B1 installation in the B4 and it's the same. The dual-channel FADEC does indeed seem to take care of everything quite well on the starts.
I've started within 5 minutes of shutting down in temps ranging from 37C to -10C and in tailwinds without cranking, and have never noticed a problem.
Of course one should always been focused on T4 during a start and prepared to abort if there's any indication of an incipient hot start. This applies to all turbine helicopters, all the time.
However, the single most important factor in getting a good start is to have a strong battery, and using battery power to crank and reduce residual engine internal temp is a waste IMO.
If a pre-start crank was "necessary," the RFM would prescribe it. It doesn't. So draw your own conclusions.