It’s a mish-mosh of a bill. It requires the Comptroller of the Currency to audit the Fed, and I don’t believe the Comptroller currently has a audit function. It requires Fed salaries to be posted on a public website; I’m sure Congress wouldn’t sit still for a similar website on Capitol Hill employees. And as you say it includes the weird stuff on inflation and international finance. It’d be hard to enforce and that may well be why the Fed Chair is opposed to it.
There are already a pile of other audits the fed’s subject to, the lawyers would have a field day trying to say which law would govern.