You don't want to be frontloading a lot of damage, killing all their units. If you all kill their units, they can't instaheal, can't hit you and you can't get exp. What you want is a unit that can take a lot of punishment both attacking and being hit in 1 turn (enter the carolean. melee get much more experience per attack than ranged, and the carolean can do more attacks than other melee. Give him cover and put close to medics). Otherwise you'd end up taking their cities or something rediculous like that
. I'd say continuous warfare is exactly what Sweden wants to do, but might want to avoid offers of even peace treaties (I think they give a diplo hit if rejected?). You can't run around declaring war on everyone for 10 turns cos of the diplo hit, you need to induce wars and it's difficult to do a lot of them quickly as desired without being killed for having no units.
I'll admit, the Swedish concept of war feels alien to most other civs, even the aztecs, whose mission is exactly the opposite. They do want to frontload the damage and take out as many strong units as possible, and they also aren't worried about a few puppets.