I came back from EDI tonight. Sky Priority was well printed on the paper BP obtained on a kiosk. I was not expecting anything for boarding, as AF is handled by Servisair at EDI, but I had the nice surprise to see the signage at the gate and
that priority boarding was strictly enforced ^. Flight was full, so it was clearly nice to board first and have time to reach your seat and have space in the small overhead bins of the Avro RJ85.