You will need a newer version than Opus 10, but either of these two script add-ins can be used to copy timestamps from one set of files to another:
At least with ClipAttr (I wrote that one; I'm less familiar with ClipboardEx), the file names will be ignored. It will copy the timestamp from the first file in one side to the first file on the other side, and so on.
So you will need to make sure the same files are in both folders, and deselect any files which are only in one folder or the other. (You can use commands in Edit > Select Other... to do that, at least in Opus 11 and 12. I'm not sure the menu items were there by default in Opus 10, but you'll need a newer version to use the scripts anyway.)
ClipAttr always copies both modified and created timestamps. ClipboardEx lets you copy either or both.