I have just found out that the battle scenarios are running laggy (also in 1.02) , at least on low end PCs.
I have found the cause and made a fix, i hope it can make it into the 1.03 release.
If it gets through (not delivered to steam, etc yet) you will also get some items that where planned for 1.04...
But as its weekend, i will have to wai until paradox responds.
Perhaps we are lucky - if Paradox is still busy with the HOI3 patch, they might not have started looking into yours, so your changes would be in in time...