These teshuvos are unprecedented; nobody before R’ Moshe or R’ Soloveitchik, no rishonim, not the Rambam, nor Shulchan Aruch, ever discuss a mechitza for separating the sexes during prayer.
I am not in opposition to our practice, but there must be intellectual honesty. The gemara in Sukkah 51b-52 is speaking of a separate section erected within the context of simchat beit hashoevah due to kallut rosh; there is no enactment of the bet din hagadol to erect such a section in all instances of public prayer, which qualitatively, is far different than a joyous water-pouring ceremony. Neither has any rishon made such an extrapolation.