The head of the CCA is literally a former NSW Liberal Party Treasurer, so I have my hopes that this story of partisan bias will be dismissed by any serious media (there's a lot of unserious media in our country, though).
The real danger to the independence of the CCA is politicians making threats against the Authority and its staff because they don't like its findings.
Ideally this sort of threat could be referred to the NACC, but they've shown themselves to be pretty pissweak so far.