Is it… a game about a game about a game ?

Known for : the Java programming language, internet sex crime and the fantasy defense.

My precious bodily fluids ! https://m.youtube.com/watch?v=xQyf3QgRP-c

I know I shouldn’t do it here, but let me ask a serious question : does the square in O(n!²) really matter ? I have a confused intuition that the factorial grows so much faster than the square that it kind of disapears assymptoticaly.