Archbishop Charles Chaput has rebuked the National Review Board for overstepping its bounds. A number of very good bishops have legitimate concerns about the NRB, specifically its mandate and where it’s authority is derived from.
It’s not unlike the situation of the independent special prosecutor during the 1980s and 1990s. Republicans didn’t like the law when it was passed and didn’t want to renew it when it came up for renewal, because they believed it created a situation where power could be abused for partisan purposes and because it unconstitutionally usurped executive and legislative powers. Still, there weren’t a lot of complaints when Ken Starr was investigating and impeaching President Clinton. It was a bad tool for a good job.