I just tried again by installing the same InDesign 10.2.0.69 package I previously created in CCP onto a clean Mac and it seems to be working for me as well. Maybe this wasn't an issue with the update itself but something with the licensing backend for the new version. Even so, it would have been nice to be informed that it was being looked into and when it was fixed.
So, K Gibson, it looks like all is probably good now.