It costs nothing.........but sometimes just the mere hint is enough to get them to move forward.
Fact: Lender is required to have a credit decision (approval or denial) no later than 30 days after taking the loan application.
I fear waiting for CFPB to sort out your issues, your chance to refinance may be gone. I would do whatever you can to get this resolved as quickly as possible. File your complaint, but continue to seek resolution.
Submit a complaint > Consumer Financial Protection Bureau