The connotations of 'Swedes living abroad' are not positive. The stereotype is negative: someone who retires early, moves to a warm and sunny climate, and from that vantage point proceeds to criticize the old homeland, while at the same time growing increasingly out of touch with what actually goes on there.
Obviously this is interesting to me because I am one of those Swedes living abroad, and I don't think the stereotype applies to me. I keep wondering why this category exists, what that reveals about Swedish culture. I haven't been able to come up with a good answer.