The Fleet Farm house brand of 5W-20, Resolute, was labeled as a syn blend even back when it was a SM API oil.
Now that they're all SN, even the 5w30 and 10W-30 are labeled as syn blends.
I'd surmise that any SN 5W-20 now contains some amount of Group III, it's just a matter of how much is needed to meet the SN spec.