The rules on DL website appears to say no Sky Club entry for non-DL STE+ on international BE/Light fares effective Jan 1st. My interpretation is the "any cabin" language only applies to flights that were prior to Jan 1st. You can't really put much stock in Skyteam website as there is some clearly out-of-date info on it. But I think someone reported having success on an international BE fare, so YMMV. The "international" definition only excludes flights to/from Caribbean and flights between US states and territories.