Watching an animation of the Turkish 737 crash at AMS. Throttles advanced part way, reduced to idle, and then 8 seconds later were advanced to max power.
IMO it's a reasonable to assume that the pilot that pushed the throttles forward removed their hand from the throttles.
Sometimes training and SOP is designed so that muscle memory takes over during high stress events.
I believe the tactile feedback from moving throttles is important. The requires two steps - 1. moving throttles and 2. having your hand on the throttle levers.