Hello Sephe,
I found the projection, my mistake!
I performed the calculation and found the same values as you.
That they are similar to those found by the projection of Albers.
I do not know, but I think there must be some mistake.
On the site of the CIA to Sweden would like their limits (adding the coastal part and regional part) about 5.400 km of perimeter and not 25,000 as pointed out by the calculation made with porojeções
When compared the values for the Vatican, the perimeter calculated by Mollwiede (3.32 km) equals the exposed CIA (3.4 km)
So I think it is a problem involving the shape of the polygon