I remember an old rule that immune cards are "not seen" by the cards they are immune to, so would this mean that bear island is not shut down by your (non stark) white raven, since the raven is immune to bear island?
My gut tells me "no", but since the immunity issue was mostly ruled in the Valyrian edition, it´wouldnt surprise me if a long forgotten FAQ entrance would make that actually work. .. oh man without this rules Forum I would be just lost. ^^