“YCT are accusing Chaza’l of considering women unequal not because of an actual Torah truth, but because they were men, and did so to inflate their egos.”
I have never heard any YCT rabbi say anything like that.
That is a false statement. R’Avraham’s essay on how to interpret midrash/aggadata is printed as the introduction to every edition of the Ein Yaakov collection of aggadata!