I like the idea. The only downside of fiddling with the Nordic war sword's stats is that the nordic swords are part of a simple progression: Simple Nordic Sword, Nordic Short Sword, Nordic Sword, Nordic Short War Sword, Nordic War Sword and Nordic Champion Sword (i know right, way more nordic swords than i thought we had till i compared them all recently).
So although your balance suggestion makes sense for the 3 weapons, it'll have a knock-on effect for the stats for all the other nordic swords, and other 1handers balanced relative to the ones you've mentioned. Poor Tydeus, now we see the tip of the iceburg for weapon balance. Unless a weapon is totally unique, any balance suggestions need to take into *all* relative stats of all similar weapons. Otherwise Tydeus has to put up with a 'wtf Nordic War Sword is better than Nordic Champion Sword at half the cost' sort of thread.
actually nordic champion sword (NCS) vs nordic war sword (NWS) do have very separate niches
longer weapons do less damage at less range; what i mean to say is, all weapons do their maximum damage at the maximum point of their swing, meaning the nordic champion sword, being a very long 1h, does a lot of damage at the furthest point, but practically negligible damage when it hits a close range leftslash; which is unfortunate as most 1h players facehug leftswing slash. It's the main reason i use the NWS over the NCS.
if you don't believe me, you can actually test this; fight against someone with a short 1h e.g. the nordic war sword, broad short sword, and get them to close range leftswing you, as well as right/leftswing at their maximum range
then get someone to do the same thing with an arabian cavalry sword / nordic champion sword
the differences in damage should be quite apparent (the NCS does more damage at long range, NWS more at close)