No. One of the key benefits of a WO to a major is their ability to control capacity and staffing without long-term contracts.

They'll want to keep the WO pilots chained to the oars while the non-WO regionals get emptied out by hiring. Of course that only works for so long, because the WO pilots can (and will) eventually bail for other majors once they realize the deal.

In a pinch (which will probably come to pass eventually), they'll most likely all do a metered WO flow through to try to control the bleed out.

Reason being, their non-WO's are likely to be emptied out by other airlines at a rate that they cannot control. At least with the WO's they can control the damage to some degree. If they offer retention of longevity for example, that could incentivize people to stick around and wait for flow rather than bail for another legacy.