Probably not. The sites just aren't that popular. True, Flashback does clock in as the 49th most popular site in Sweden but it's not just a hub for racists, it's a hub for, well, everything, basically. The most popular "alternative" news site is Fria Tider which clocks in at 142nd. That's way behind the larger newspapers that are all in the top 50, and well behind even regional ones like GP and Sydsvenskan.
For all the hubbubb about it, Avpixlat is actually ranked as low as 213th (which ironically puts it right between the New York Times and Vice, which apparently aren't that popular in Sweden). Other sites at that level include stuff like the Swedish DMV, Systembolaget (which I
really expected to see higher up, to be fair) and second tier store sites like Alibaba.
http://www.alexa.com/topsites/countries;0/SE