No, it’s ackshully a private copying levy. I get what you mean, but it’s a “good” thing, because otherwise 12 § upphovsrättslagen probably wouldn’t exist anymore:
Var och en får för privat bruk framställa ett eller några få exemplar av offentliggjorda verk. Såvitt gäller litterära verk i skriftlig form får exemplarframställningen dock endast avse begränsade delar av verk eller sådana verk av begränsat omfång. Exemplaren får inte användas för andra ändamål än privat bruk.
Think like this: for our sooo beloved politicians and legal systems, everything in life is seen as a transaction. Due to the fact that I’ve paid my “private copying tax” or whatever you want to call it, I therefore have the right to make private copies and share them with limited groups of people. If they want to restrict those rights that I have paid for, they would “need” to remove the tax – but they will never do that because it’s tons of free money.
But if they did get rid of the tax, there’s no longer that “transaction”, and therefore there’s nothing hindering them from criminalizing private copying. Sweden is already USA’s lapdog in all other regards, so you can bet it’d be repealed quickly.
I don’t support copyright laws either, nor follow them, but I can appreciate how it’s currently set up here, simply because it would otherwise become much much worse. At least here, normal people can do what they want without worrying about getting a legally binding order to pay 700€+ in damages like the Germans get.