OK, I do not know if this will help anybody or not, but I found out how you can check what updates have been applied to your Click To Run Office 2013 and how you can turn off the updating.
If you don't know already, go to any of the Office programs and click on File on the menu and choose Account. On the right-hand side you will see a number starting with 15 that is a hyperlink. That is the version you are at right now. Just to the left of
that number is a button that has 3 choices on it. You can Enable/Disable Updates, View Updates for Office and when they were released and what is in each one, and then you have About Updates. Since I re-installed last night it still has not updated from its
original version number. Mine still stands at 15.0.4433.1508, the original installed version. The most recent version is 15.0.4623.1003. You can follow the links and it will itemize every update that gets applied in every update. I have turned off Office's
Click To Run updates until they get this fixed. I hope that it was caused by an Office update. If so, I should be ok until they fix this.
If you do not have the Office Update button on the Account page but only have an About button then you have the MSI deployed version and not the Click To Run version. But anyway, since nobody else seemed to know how to control updating for the Click To Run
installs, I figured I would share this info in hopes that it helps you avoid losing Office again if you are lucky enough to get it going again. I realize that I should be able to allow all updates except the June 10th ones and be ok, but I have just turned
them off completely to be sure. Again, I hope this helps someone else.