The reports I've seen don't indicate that Protein World caved in. Rather, the SJWs did exactly what is to be expected of a 2GW opponent, and decided to use the media equivalent of heavy artillery to saturate-bomb a single obvious target.

They will certainly be able to force Protein World to pull those ads through recourse to the legal system. But they're going to have a hard time justifying the resulting losses in jobs, revenues, and customers.