Yes, regionals will have to wait for majors. Majors can actually specify requirements for their FFD pilots... they usually don't because they want to keep costs low, but insisting on a clean shave is actually zero cost to the major partner.
From my perspective I see essentially zero impetus for beard reform at the legacies... there's a tiny handful of young, junior folks who bring it up but most of the membership doesn't give a rats arse. If the company offered, sure. But if we had to expend negotiating capital... not a chance in h3ll, I'm not giving up even $0.25/hr over beards.
Maybe corporate or fractionals? I know some corporate operators are cool with it, might even convey some gravitas for the high-end pax...