Hello: The “Many valid Poskim” just include Rebbeim and Rabbis that I have spoken to in Eretz Yisrael. I think this issue more than any other highlights the difference in the weight given to R’ Moshe’s opinions in America and Eretz Yisrael.
I remember being shocked by how lenient Rav Ovadiah was on abortion when I first looked it up (someone was wondering on Jewish Halachic positions on abortion). He says the first 40 days you can abort for any reason and until 7 months (might have been three; I seem to recall him quoting a random Sephardic SHU”T about the 7 months) it can be done to avoid the mother “Tza’ar Gadol”. I looked this up in high school and my notes are on an old note card that I am currently searching for. If I can’t find the card I will try to find the exact Teshuvah for you. It was in the Yabia Omer though.