I can't claim to know all the details, but it's strictly better to get the basics right than to get them wrong.

One of the bedrock principles of constructive criticism is to criticize actions and behaviors not identities and personalities. "Man" is an identity, which makes "Man Box" a fraught term at the best of times. You did a pretty reasonable job in the original post preventing the initial impression from having too big a negative impact, but you have to keep at it, over and over, any time there's a fresh exposure. The term intrinsically has a misandric implication which needs to be counteracted explicitly. Doable, but lots of extra work that would be avoided if the widely-used term was Act Like a Man Box instead of Man Box.

I don't think it's an accident that Kivel chose a term that stresses actions and behaviors, or that the recent explosion in attention has involved an almost complete switch to the identity-stressing version right at the time when high-intensity culture war calls for destructive rather than constructive criticism. (One doesn't want to convince "them", in a culture war; one wants to beat "them" by making them look bad. Whoever "they" are.)