That probably has more to do with who immigrates to Switzerland. I don't now the numbers, but people who immigrate to Switzerland is probably fairly well educated and generally pretty well of.

Denmark is still a fairly high-trust society, not to the level of Switzerland or Japan. We're seeing certain items in supermarkets being locked away or chipped to prevent theft. Now that's not just because of immigrants, Danes steal from the supermarket as well, because prices on many items are increasing rapidly.