[constantius]

The claim made was that all crime is linked to refugees.

We can agree that the 'all' part was just the original commenters own biases, but that 'refugee' part is still unfounded based on your quotes.

Refugees are a small minority of immigrants (historically around 10%, don't know what it is in Sweden). The quotes you cite are about immigrants, and the few nationalities mentioned are Turkey and Serbia: neither is a country where refugees originate (except maybe LGBT people, but I'd be very surprised if Sweden is in the thrall of gay Turks...).

So the assertion about immigrant backgrounds seems to hold, but nothing says it's related to refugees, otherwise the large majority of these criminals would be Afghan, Syrian, Eritrean, etc., which doesn't seem to be the case.