Well--lol--that should be no problem, because the progs by rights could not possibly use the SDA name since they renounce over 50% of the SDA beliefs. This really is a no-brainer.
May I ask why they would even want to retain the name anyway? Seems to me that if I were a prog--I wouldn't want to be associated with such a corrupted bunch of ingrates that could believe in the IJ, EGW, clean and unclean foods, abstinence of alcohol, living a perfected, God-driven life, the relevance of the 10 commandments, the God-breath inspiration of the scriptures, baptism by emmersion, the triune nature of the God-head. etc. The list goes on and on.
I would think that for those wanting such drastic doctrinal changes within a denomination, that the stigma of carrying such a cultist name would be repugnant. Sort of like trying to change the image of the Nazi regime. But then--I could be wrong.