I also think this show th problems with deciding what country is the most liberal or conservative. Both Denmark and Sweden are to large quite similar, but there's some structural and cultural difference, which make the two countries distinct.
Danish liberalism have always valued a somewhat insular attitude, do what you do affect other (and me)? If not I don't care whether you have sex with people of the same gender as you, live together unmarried, have multible sexual partners. On the other hand, if it affect ME negative, find pitchforks and torches.
Swedish liberalism (to me) seem on the other hand somewhat... well the best description, the farmer's boy comes to the big city. We all know the archetype smart people, who have been born in American south in a conservative baptist family, they're tired of their conservative family, so when they go to the university, they shallow all what're taught with no critical sense, that some of it may not be true or useful. Swedish culture seem like that; smart and hardworking but too willing to adopt the last intellectual hype.
A somewhat nicer way to say that is that Danish liberalism has been focusing on negative liberty and Swedish liberalism on positive liberty - which then tends to make them more receptive to progressive fads.
This is sort of odd since Denmark has a bigger welfare state and welfare states are associated with positive liberty.