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Add possibility of rename Backup folders. If you have only one computer, it go fine, but if you have more than one, it ends being very confussing. Due iCloud Drive issues, I've changed all of my Macs...
Thanks, mismamari ! I followed your instructions and was able to get both my computers backing up with the rename feature available.
The essential step was shutting DropBox down completely and relaunching. Without that step it wouldn't work on either machine. Even after stopping backups on both machines and getting Rename working on one, it was not available on the other until I shut down and relaunched the DropBox app.