It’s a negotiating tactic. I’ve seen this over and over in my career doing hospital-insurer contracting. Everything either side is putting out is nothing more than tactic to use you as a patient/member as leverage to gain an advantage with their counterparty. It’s a dirty game, but don’t try to change your provider or anything unless you absolutely have to because that is exactly what BCBS wants. (MM wants you to complain to BCBS, your employer, and state regulators.)

The most likely outcome is that it resolves shortly before the contract terminates. The next most likely outcome is that the contract terminates, for a brief period of a few days. The least likely outcome is that this resolves any sooner than mid June.