Apple warned a long time ago that it was deprecating login/logout hooks, which is why Jamf is doing the same. Jamf will provide other means to enable triggers at login to continue to work.
However, logout items have always been problematic. Many administrators have tried triggering items at logout that really weren't appropriate and would cause issues (e.g. cause the logout to time out or prevent the Mac from restarting in a timely manner).
My suggestion is to move away from both login/logout triggers and instead use a launchd launch daemon. A launch daemon runs as root with or without a user logged in and it can be scheduled to run periodically. One daemon could call a single script that verifies whether the computer is in use and then update your database. I would suggest a five minute interval to avoid congestion with any other processes trying to run.
My favorite tool for creating launchd items is Lingon. Another app is LaunchControl.
