@holger1405
My issue is now fixed! I'm not sure how much of it was from clearing the cache, but that was certainly a good thing to know how to do anyway. Thanks so much!
On my laptop, I have a SSD boot drive (C:\) and a much larger HDD (D:\) for everything else. I had used a symbolic link to move my Bioware directory from the Documents library to a location on the D drive because it seemed like a good idea at the time. It could find the save files, so I didn't think about it (plus, I had made the link more than a year ago, and forgot I even did it). I was only reminded when reverting all of the application settings again and pointing Origin to the appropriate game directory. When I removed the symbolic link and moved the Bioware folder back to the C drive, it continues to work just fine (rather than working once and then overwriting it every time thereafter).
I don't know if that made sense - let me know if I should elaborate.
From what I can tell, there's probably a bug with the Origin cloud saves where it inconsistently checks for symbolic links. I've also reported it via the Origin error reporter within the Origin application.
Once again, thanks for the help!
Edit: Clearing the cache also made Origin uncertain as to whether or not I had most of my DLC installed or not. The button said "Download" rather than "Details" for about half of them, but it wouldn't let me download them (which is probably good, because they already were installed and are reflected in the game itself). Repairing the game caused Origin to crash (but it worked after restarting). This probably occurred because the games weren't saved in the default location, as I mentioned earlier.