Hi Jeremy,
We are running the latest versions of both Jetpack and Wordpress. We are not running the latest version of mysql however. Could that be an issue? We are running 5.0.96-community.
I didn't actually count the number of times it occurred on the second website. The 28 was the number it occurred on the first site, and once I disabled the stats, I had 0 counts. And it was 28 times on each page, whether the home page or an article.
In each case, the requests overwhelm the database and then corrupts the table. It requires us to repair the table before the website would operate again. We tried changing the table to InnoDB and while it worked better, it eventually crashed that, and it's unable to be fixed. So we recreated the table from a backup.
I will subscribe to the discussion on Github, and would be happy to allow an Automattic employee access to the site in question to see what happens.