The turbomachinery is by far more simpler than high performance piston engines.
A car engine of 200kw only needs to give peak power for a few seconds of acceleration, and can be electronically safeguarded from outside of envelope operation.
An avia engine of 200kw needs to be able to operate on its full rated power continuously, for longer continuous periods of operation, be many times as reliable as a car engine, be lighter than a car engine, be engineered to accommodate, and survive failures, and be engineered free of governor mechanisms of any kind that may fail on take off (engine governor having to deliver demanded performance even if it has to waste the engine)