Today I went into VEB to restore something and found out that backups hadn't run for 28 days. The problem was that the Veeam Endpoint Backup service was crashing on startup. I had upgraded some SQL components on my computer and this seems to have broken VEB's use of LocalDB. Reinstalling VEB fixed the issue.
But, it would have been nice if the UI displayed a message that backups had stopped working X days ago. While the service wasn't working, Veeam.EndPoint.Tray.exe was still loading and could have communicated with me. The worst time to find out backups haven't been running is when you open the application to restore something.