Honestly, I am astonished that you can be so conscious of the effect of language on thinking in the context of programming, and yet so tone-deaf when writing your copy. This is not "today's PC bullshit", it is an effort to eradicate structural sexism going back at least half a century. It is not lovely and natural to use "man" as a default for "men and women" - it rings strangely to the modern ear, and you have attracted a number of comments about it. Maybe 40 years ago taking this position would have been forgivable, but in 2020 you are very much on the wrong side of this battle.
I commend this article by Douglas Hofstadter to you. It was written in 1982: http://leeclarke.com/courses/intro/readings/Hofstadter_Chang...