It's always been the policy in any turbine I've flown to introduce fuel at max motoring speed. It's not bad for the starter in the least, and the start temp is of far greater interest and importance than starter life. Starter life won't be harmed by taking it to max motoring speed prior to introducing fuel and spark.
All turbine manufacturers post a minimum motoring speed prior to introducing fuel, but I don't know of any that insist fuel be introduced at the minimum speed.
The faster you can spin the engine prior to start, in general the cooler the start.