The copy mode is Sync and the rule "Overwrite file if the date of the file being copied is more recent" is selected but is grayed out on the "Copy Modes" screen.
I would suggest that this new option appear on the "Sync Conflicts" screen because it would appear in the same location as other options relating to synchronization conflicts, and therefore would be easier for users to understand. However, you know the program better than I do

so I will let you decide whether or not we need this new option. Here is the situation:
Last synchronization was at 2:00. Folder on Computer A has two files:
testfile1 modified at 2:05
testfile2 modified at 2:33
Folder on Computer B has the same two files:
testfile1 modified at 2:06
testfile2 modified at 2:30
What I would like to have happen is testfile 1 to be copied from Computer B to Computer A, and testfile2 copied from Computer A to Computer B. Currently, there is no option in "Sync Conflicts" to make this happen. Would your suggestion do this?