The ICAO publication describing UPRT is Doc 10011 AN/506 MANUAL ON AEROPLANE UPSET PREVENTION AND RECOVERY TRAINING
In chapter 3 it explicitly details recovery for what traditionally in flight training was called "unusual attitudes" .
Spiral dive In this manoeuvre, sometimes called a graveyard spiral, the aeroplane is at a high bank angle and descending. Trainees will learn in this situation that applying up-elevator in an attempt to arrest both the increasing speed and sink rate causes the spiral to tighten. The skill learned is that it is imperative to get the wings close to level before beginning any pitching-up manoeuvre. Trainees must decrease the bank angle and then apply up-elevator to recover. If g-loading is large the pilot will need to first unload some g to regain adequate roll control for wings levelling
The on-aeroplane training should include a variety of developing and developed upset conditions, with focus on pitch, power, roll, and yaw. This on-aeroplane training should include demonstrations and practice for various upset scenarios, to include nose-high and nose-low scenarios with various bank-angles and speeds. High bank-angle recovery exercises should be practiced in both nose-high and nose-low situations. This training should be done in both visual and simulated instrument conditions to allow the trainee to practice recognition and recovery under both conditions as well as experience and recognize some of the physiological factors related to each.
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I would suggest this is entirely consistent with how it has always been taught. If a student in a DA 42 is using "push, roll, stabilize, power" in a spiral dive then the problem is not UPRT, it is they were not trained in a manner consistent with UPRT SOP's.