What is the accident record on turbine Baron's and Dukes?

The obvious answer is there is no record as the first one is still
finishing the STC process.

Your point about training was well made, I kinda figured that factored
into many if not most accidents in owner-flown turbine aircraft. I
didn't realize the TBM was so high up on the list though - it's
reminiscent of a local guy I know of who recently traded back down to a
Bonanza after crunching his Malibu Jetprop twice as the result of two
completely boneheaded manuevers.

The greatly improved aerodynamics from getting rid of the draggy radial overcome the thirsty turbine engines. Of course they don't sound as good...

There's a lot to be said for round engines that leak oil and smoke on
startup - Character, I think it's called G