Their lawyers are in fact some of Sweden's top lawyers (Peter Althin, for example, has handled many famous cases). IANAL but I think the way it works in Sweden is that there are no public attorneys. Instead, private firms provide defence attorneys at the request of the courts. I think a defendent can request his/her preferred attorney, and I think the the tab is picked up by the state (at least in criminal trials -- I feel less certain about this apparently combined civil/criminal trial).

Another institution worth mentioning is Lagrådet (Google translation) which examines the constitutionality of laws before they are voted on. In this case, it had declared the law to be constitutional.