the majority of Poskim… a Mechalel Shabbos does NOT create Bishul Akum.
What’s your majority? The machmirim include: PR”CH, PR”MG, Pischei Teshuva (113 aleph), CHZ”I, CH”S. You added R’ Elyashiv as well (I did’t see it inside.)
You mentioned the meikilim as: Tiferes l’Moshe, Pischei Teshuva, Yabia Omer, Halichos Olam, Tzitz Eliezer, and, sort of, Minchas Yitzchak.
So far, it’s even. I guess R’ Moshe would be the machria.
(My point isn’t really the precise numbers, it’s that the machmirim are not a daas yochid.)