Never heard of the multiple paper ballots before, it would be very controversial to use that system here where the secrecy of the ballot is sacrosanct.
Exactly. At the last Swedish election, the leading Danish electoral professor, Jørgen Elklit, wrote an article where he said that the Swedish elections could not be characterized as "free and fair" due to the multiple ballot thing, and that party representatives can be present at the polls and hand out ballot papers to the voters. The last problem is amplified by the fact that the election districts in Sweden are generally quite small in terms of population.
He sent the article to the four main Swedish newspapers, but none of them wanted to bring it, so it was only published in Denmark.
Several Danish politicians called for electoral observers from the EU or the OSCE, but I don't think these hopes were materialized.