Going off the topic, Rav Shach was asked wherever students in Ponevetz should join Hatzola. The Hatzola people tried to persuade him to let the Yeshiva boys join, giving a story that recently happened in Bnei Barak, where a little boy fell off the wall, and if not for Hatzola he would have not made it to the hospital in time. Rav Shach answered that if Hatzola weren’t there, the child would have got to the hospital another way, e.g. by a passerby or the child himself, and there is no need to have a Ponevetz yeshiva boy (or perhaps yeshiva boys) in general joining Hatzola, as when you are Oisek in Torah you are Potur from Mitzvos that other people can do.
Those who say Rav Shach was a independent view need to read his statement that he was appointed as the Shomer of the generation by Rav Kotler (whom Rav Moshe Feinstein admitted was the man of Haskofa in that generation).
So perhaps relating to this Shailo, i think it is a good idea that women join Hatzola (who don’t have a Chiyuv in any full time working or learning commitments), they would alleviate the problem of male Hatzola member’s dealing with females, perhaps if their were more women Hatzola members, boys would not leave Yeshiva and work in Hatzola.
p.s. Rav Shach said a similar thing regard to Yeshiva boy who do Kiruv –he said for people in full time learning, Kiruv (to a significant extent) is Bitul Torah, as other people can do Kiruv.