What are you looking for out of the comp – upgrades? I think upgrades are the only area that’s not clear about the Skyteam arrangement.
As a DL Platinum (100K miles), when travailing on say Air France I am afforded the privileges of Skyteam Super Elite – my DL PM card says so (thankfully!) This means I get lounge access, check in privileges etc. etc. But what about upgrades? When I’ve asked I sometime get an upgrade on AF, but it doesn’t seem to be a “right” as it is on DL domestic flights – if there’s a 1st class seat open.