Audits are a premature solution to a problem that's not particularly bad, and will also be fixed by other solutions "soon".
Currently the reputation needed to participate in the review queues is 500 rep. In full sites the reputation needed is 3000
Fixing the problem by introducing review audits is a backward process. The problems in the review queues are mostly related to people who are not experienced enough with the site doing things that "real" sites only allow after more experience is gained.
Edit: Let me expand this "NO" answer some more. Here are reasons why we don't want audits:
- The current reviewers are not doing too badly, all things considered. The problem questions are few and far between. The moderators themselves have had more issues with question closes than the site members.
- They don't work very well. Everyone who's been through StackOverflow's queues can see them from miles away, and they are ignored. They don't discourage robo-reviewing, they do the opposite. Roboreviewers still exist on StackOverflow.
- They don't work very well. Audits slow down people who actually know what they are doing.
- They are not needed: How many people have been manually banned from the review queues? In my time as a mod, I believe there were 2, maybe 3 people banned... and for short periods. How many people are currently review-banned?
- The problem is not that we have robo-reviewers, the problem is that we have people who don't know what's off-topic, or not. The solution is to have reviewers that know the site better, not those who can identify an audit question better.
- The solution already exists - the whole point of reputation on the site is to allow more site-experience people access to more site-responsible activities. The Systems are reasonably well tuned for graduated sites. 3000 reputation takes a while to earn. 500 is possible in just a few days. For a beta site, the 500 rep is reasonable, the 3000 rep is not.
- Audit questions creates additional burden for site administrators - audit questions have to be selected, and the meta-site spike in activity as they get challenged, questioned, etc. will be a headache.
So, the proposed audit system does not significantly improve the problem, it irritates the people who are not a problem, and it is more work, all for a problem which is solved by having more experienced reviewers.
@janos - your question/comment: I thought the question is about adding audits. Yes, fixing the privilege levels is the single most important thing we need right now. But I don't see why we are mixing that topic into this discussion of audits. I don't see why you don't see it. To me it is "obvious".