Tired argument, redirecting the topic. It's possible for more than one thing to be inequal at once. Also, the National Association for Women in Construction [0] and the women in auto care organization [1] would disagree on your first points. Lumberjacks slightly different, but even there I've found axewomen which is an organization/family promoting female lumberjacks (lumberjills as they call them) as a career [2].
[0] https://www.nawic.org/
[1] https://www.autocare.org/networking-and-development/communit...
[2] http://axewomen.com/index.html