Who cares wha the hamon hoam’s reply is? We know what Shulchan Aruch says. The fact their are extenuating circumstances that unfortunately make women leave their home, does not make it anywhere near the ideal.
1: That is the first time I have heard the Lakewood Roshei Yeshiva called the “Hamon Am”. (I didn’t say it, he did 🙂
2: Tuition IS an extenuating circumstance, being that your other option is taking Tzedaka (at the minimum).