Permitless speech is still possible, the speaker just won’t have the backing of the state in making it.
If the state denied a permit for this kind of demonstration the speaker could still up and decide to burn a Quran or make any other speech they see fit, they just wouldn’t have police protection and crowd control.
Given how unpopular this sentiment is in general and the various speakers’ choices of venue (Muslim neighborhoods, mosques, embassies of Muslim nations), I doubt they’d continue burning Qurans.
That’s why I phrased my initial response the way I did. The Swedish state should stop condoning that kind of speech if it doesn’t want it’s enemies to be able to accuse it of condoning that kind of speech.
Stop issuing permits, stop protecting hate speech.