Sounds like the director…not the producer…just my experience from my small stint at directing multi-camera productions. 2x people made a mistake:
1st was graphic or chyron operator by not having correct graphic.
2nd was the sound guy who made the worst mistake by patching in the directors voice to air. People curse a lot in the booth as it is a high stress job…nobody should be hearing it. Sounds like the sound mixer might be looking for another job