There will be plenty of dead standing.. specially on the stretch from Abisko towards the Norwegian border, as about 9 out 10 trees are dead up there. The problem is the same as here. Most of it is birch. And birch does not dry unless the bark is removed or it is split. It just rots, as the birch bark is water proof, it just retains all the moisture inside, and rots from the inside when it dies, it does not dry. It is more or less useless as fire wood. In winter it may apear to be dry, but it is in reality just a lump of frozen ice.
You may find some patches of boreal forest with some pine trees, and the odd other type of trees. and get some fire wood from that. What the locals are doing is probably to bring dried birch wood from home on their scooters. As when it is split, and dried for a year, it is excellent fore wood.
Gallivarre where you where the last time is low land country, while Abisko is high lands, just bellow the tree line, so the variety of trees is not that great. Mostly very small mountain birch. But you could get a good fire going from sticks, but it will burn quickly.