In November 2021 Ryan Hudgens (aka OreKehStrah) proposed Mehta APDR for Square-1
This method is a version of the Mehta APDR 3x3 method variant, translated to the Square-1.
https://www.speedsolving.com/threads/square-1-mehta-apdr-method-now-available.85658/
https://docs.google.com/spreadsheets/d/1Q-xTzQ9sLUPb1ZrVfI2S0tEfBmKhqpOMgPMCMD4iIWU/edit#gid=0