Mindful – it’s exactly that reaction that chaim jachter wanted to elicit when he quoted the satmar rov as if he were the only one who qualified the heter of the chofetz chaim as applying only to tanach.
Your reaction is proof of his deceitful tactic working…. it’s far from “just satmar”… it’s chazal, rishonim wnd achronim across the board. Rav Moshe writes that it’s unnecessary to even address the issue, since it’s a simple gemara.
Also, did you know that the beis halevi – not a satmar chossid – says that women don’t wear yarmulkahs because their hair will be cut off anyway upon marriage, so it’s already considered cut and is therefore like a yarmulkah?
Your rant is an excellent caricature of the yatzer hora of modernity… purely emotional, copying feminist attitudes and making baseless claims of superiority over the more observant classes of Jews.