Prior to Cui Shoushan the move was also called 'Praying Mantis Hands to left and right.' At least that is what Liang Xuexiang writes, but what they write and what they teach don't always match.
When Zhou Zhendong teaches the moves he mentions somethings that are very useful such as, this move can be done this way or that way, it is called this or that.
So, each generation may write something down one way and teach it orally another way.