Does the roads count as junction=jughandle?

Here is a fictional example demonstrated with the iD editor:

Do the jughandle roads count as jughandles?

No, these are not junction=jughandle.

junction=jughandle is appropriate when the intersection has a restriction=no_left_turn, forcing left-turning traffic to use an exit ramp on the right. (Reverse these directions for left-hand-drive localities.)

Example in North Plainfield, New Jersey, US