I don't know about Norway, but here in Spain socialized healthcare is great if you get something really bad, but sucks for the small stuff.
For example, if I want my eyes checked to get new glasses, I'll go private and have them checked tomorrow instead of waiting 4 months in the public system, but If I need a kidney transplant, I know I'm getting it as soon as humanly possible at no cost.
The costs of private insurance with decent coverage are also pretty bearable... I have private insurance so I can get fast appointments and go to a nicer and less crowded hospital if necessary, and it's around 35€/mo.