most turbine engines require very laminar airflow through the engine to prevent compressor stall (and thus damage), which actually eliminates option to do serious (continuous) flight training with them, such as stalls, unusual attitudes, spins, ...
Wasn't a problem in the JP. What could be a little embarrassing was the lag from idle to producing usable power - IIRC, being a single spool pure jet, about 8 seconds - which could lead to an elevated pulse rate if a practice glide approach went wrong
p.s. I don't think diesels are really sorted out yet and that would seem the way to go esp. multi-fuel.