I guess the English language is not your first. In English, the male pronouns and the word "man" have both a gender-specific meaning and a gender-indifferent meaning. The latter is to be assumed absent a gender-specific context.
In other words, you're way off base on this.
Well, yeah, of course, you're right; HOWEVER, what do you think Washington, Adams, Jefferson, Madison, Hamilton, etc., would answer if the question were put to them: "And you, sirs, believe that what you've written and fought for applies equally to women? That is, women should be able to hold any high office in the land--correct?"
Though according to one of my old textbooks, now it is considered offensive to use 'he' or 'his' in the general, all-encompassing manner.
In other words, you're way off base on this.