I would be very interested to know if you are given access to the Star Alliance Lounge as a SkyTeam Elite Plus member. When I flew VS from Miami I was told very clearly at check-in that I would not be allowed access to their usual lounge (LATAM) as it was only for
their Upper Class passengers! I actually created a topic about this dilemma
here but noone responded.
In any case, it shouldn't be a problem to use the Delta lounge - we had no issues in Miami.