No no, explain more about this 'love of the EU that caused them to stay in the UK'.
I think it means that, if they withdrew from the U.K while it was still an E.U nation, Scotland would have to negotiate INTO the E.U as an independent nation. It wouldn't be 'already there' by default or through being an inheritor state or anything like that.
EDIT: replying to an older convo. Still valid.