I suspect that the "turbo shaft" is an FAA error. A turbo shaft engine is a turbine engine that powers a helicopter, vs a turbo prop engine powers an airplane propellor.
If you read further down on the registration it lists the engine as a Continental TSIO-520, which is "turbocharged" to make matters more confusing.
This is a turbocharged pressurized Cessna P210N.
Me thinks there is more to this story than the pilot is revealing.