I don't know how good the open list system is working in Denmark. In Italy a experiment showed that only 3% of the electors use their right to change the candidates, making it useless.
A majority system where you can choose directly your MP would be way better to achieve representation. Why voting a list? Why not elect one representative for an area of about 100k citizen?
That way you do know who is your representative, in the list system (even in the open list) who is your representative? All of them?