Do you have the text of the law for this? I suspect you're overstating the restrictions.
That’s almost impossible to get permission for. A private citizen can not get permission to film a Street corner. The difficulty in getting permission obviously isn’t written in the legal text, but individuals don’t get permission and businesses only very rarely do.
https://www.riksdagen.se/sv/dokument-lagar/dokument/svensk-f...
Seriously, this means every home outdoor security camera is potentially illegal. This can’t be true.
Does everyone do that? Probably not. But that doesn’t change how the law is written.