Hi Gary,
Excellent question. It has given me something good to ponder this morning. Others may comment, too, but I do not believe pushing the glutes back is an output of squatting because I can sit down without actually pushing my glutes back. I can also push my glutes back while reducing flex in my knees. Below is a video that covers this topic in general. I have not watched it in several months so forget what I said above it is directly contradicts me. lol But I don’t think it will. Let me know what you think and what you learn, if anything.
Student Q & A: Understanding How the Legs and Glutes Work Back