It’s also worth noting that the word usually translated as “silent”/”silence” is haesuchia. What’s missing is that by silence, its meaning is more nuanced, refering to a silence specifically being at peace, or at rest. I’d say that being “at peace” would be a good rebuke of women that are forcefully/violently practicing authentein.

“So this is what I want: the men should pray in every place, lifting up holy hands, with no anger or disputing. 9In the same way the women, too, should clothe themselves in an appropriate manner, modestly and sensibly. They should not go in for elaborate hair-styles, or gold, or pearls, or expensive clothes; 10instead, as is appropriate for women who profess to be godly, they should adorn themselves with good works. 11They must be allowed to study undisturbed, in full submission to God. 12I’m not saying that women should teach men, or try to dictate to them; they should be left undisturbed. 13Adam was created first, you see, and then Eve; 14and Adam was not deceived, but the woman was deceived, and fell into trespass. 15She will, however, be kept safe through the process of childbirth, if she continues in faith, love and holiness with prudence.”

I still think he stretches the Greek in v.12. It literally says “do not permit” not “I am not saying”, permission is denied in the Greek.