You should be able to use whatever lounge you want based on your SkyTeam ElitePlus status and international itinerary. I've lounge hopped at NRT with no issues, although the AF lounge there does photocopy the ticket and IIRC passport, presumably to get paid for the visit. If a lounge marks your boarding pass, as UA does at NRT for example, you might not be able to then visit another lounge easily.

However, if you use the ticket in biz for lounge access, your carrier may tell you which lounge to use, presumably theirs, which is an advantage in IROPs or if boarding is delayed as there will probably be announcements and rebooking options only in the carrier's own designated lounge, so you might want to use the operating airline's lounge close to flight time.