“No serious rosh yeshiva ever said we stop following a halacha in Shulchan Aruch in our days or that we shouldn’t talk about a mishna.”
Yes, I asked if a Kohen should be saved before a Yisroel and he said a Kohen is not saved first because they are only safek kohanim. I believe we have already had this talk. And for women, it only applies when everything else is exactly equal. And things are never exactly equal. So its not lemeisa. The poskim will find a way out of these things.
And yes, a serious Roshe Yeshiva has told me halacha like these will make people on the fence go off the derech and we should not talk about them to certain people. For privacy reasons I dont want to say his name. Of course, you have the right to disagree and I personally disagree with any sort of censorship.