Country calls: as long as the FADEC was powered, which it would be pre-start, the Compressor Variable Geometry vanes would be in the correct postion to start the engine, so they wouldn't be 'closed'. The fact that you can't turn the engine core without the starter motor is the 'stopper' (except in flight with sufficient airflow). The incidence of starter motors failing on the J seems to be far less than on the older models, the normal cause of which was the driveshaft shearing. The fact that the J engine is a free turbine & the starter does not have to turn everything - engine core, gearbox & prop - means there is less strain on it at start-up.
But I've never had a starter fail (yet), K or J.