I had a puzzle cache that was PMO, mainly because it was a bit tricky with a few red herrings thrown in, and I wanted to limit it to more experienced cachers to avoid a lot of frustration on the part of novice cachers (and it had a theme which was probably attractive to kids). It also had better-than-normal starting swag, which I was hoping would be fairly traded. I recently converted it to non-PMO, as I had intended to do right from the start after a few people had found it- I had checked the cache before I switched it, and the swag trades were more than fair- cache was actually better stocked at the time of the switch than it was on initial placement.
I thought the audit log was interesting in that it let me know as a cache owner who might be trying to solve the puzzle, but on the same token, I can see where it might limit people from trying to solve a puzzle- might make a few people self-conscious if they knew the owner could see the several dozen times it took to view the cache page before solving it.
For me, the information is interesting, but not necessary. I don't really see the need for it, other than curiousity's sake. For those whose argument is that it will help to track a cache thief, etc., I don't really see that will help. If someone was truly interested in destroying or pilfering a cache and then trying to monitor a reaction, there are better ways of doing it- GSAK or putting a cache on one's watchlist rather than visiting the page itself. Also, just because someone has an interest doesn't prove that they have malicious intent, or that they were even anywhere near a location.
My overall opinion: abolish the audit log