"Pause Sync" does not automatically restart on my Windows device.

Do not waste your time uninstalling/reinstalling or singing-out/in. If you have this problem it will not fix it. The problem also has nothing to do with the Beta version, it is in the non-beta release.

I submitted a ticket and after a few pointless and default "why don't you try reinstalling" options, I spent over half a day emailing back-and-forth with a higher level specialist, creating a long series of process log files and showing that the problem persists in a variety of conditions. Dropbox does not even attempt to start syncing when the time to restart occurs...it doesn't do anything at all, as if its not even tracking the time. Dropbox support acknowledged the bug, but have not come to a solution that I am aware of.

The one odd thing I did find is that if Dropbox is restarted AFTER the pause is set (either because the computer is rebooted after the pause was started OR because you quit Dropbox and restarted it), it does appear to start syncing again at the correct time. If you set sync to pause and Dropbox does not restart before the time "expires", it will not start syncing properly. 

Thus if you happen to do something like "Pause sync Until tomorrow" and then turn off your computer for the evening, it should start working again when you turn it on the next morning. Things like Pause for 30 minutes or 1 hour are less likely to work as you're unlikely to reboot in that interval.

The tech tried to claim that "quitting and restarting Dropbox" was a valid workaround for the bug, but I disagree because if you have to to do that anyway you might as well just manually restart sync.