Time Tracking: Does Turboshaft count towards Turbine time?
Turbine is turbine.  If you burn fuel to spin a turbine that drives a compressor, it's turbine.

I counted all turboshaft time as "turbine" when reviewing resumes for pilot applicants.  Understanding the theory behind turbine engine operation is what everyone cares about, whether is was a turbo-this or a turbo-that is not as important.

Contact a few insurance brokers just to be sure.  Falcon Insurance, AOPA, TrueCourse just to name a few.