Turn rate suggests an average 60 to 65 degree bank angle during the 360° turn on the ADS-B track, steepening to over 70 degrees or more in the second half. High airspeed and descent rate does not suggest stall or spin. However, wings level, pitch level semi-intact wreckage does not seem to be consistent with the >10,000fpm descent rate.
The main danger of ice is the increase in stall speed, I can't think of a way it would cause a high-speed spiral dive.
My hypothesis: death spiral with a recovery initiated, but too low to be completed before hitting the ground. Possibly stalled during recovery attempt, but probably would have hit the ground either way.
These are completely made-up numbers but, at 20,000fpm, and a terrain elevation of 4,500', and a 16 second recovery time (6 seconds to roll out of the bank and 10 seconds to pitch up to arrest the descent), recovery would have to be initiated by 10,000' MSL.