The opinion of Rabbi Eliezer in the Mishna in Sotah that was quoted in previous thread “as if he taught her tiflus”, according to the Choftez Chaim (brought in likutei halachos) was applicable back in the time of R” Eliezer. Nowadays, he wouldn’t hold this opinion according to the CC. It should be pointed out there are two other opinions in the mishna as well. One that one is obligated to teach his daughter torah (ben azzai) and one that I’m not quite sure how to put into words that the mods will allow. See the gemara on chaf beis amud beis.
It would seem to me that the analysis of the OP is very much along the lines of the chofetz chaim in likutei halachos.