Nope, they're more likely to be bill locked and unable to make any transactions. The point is nations at peace don't lose nation strength without completing a transaction to do so (IE Sending away tech, selling infra or whatnot). Nations at war do, when they get attacked/CMed/whatever. When a large part of your alliance is losing nation strength through being in anarchy w/ no funds and unable to buy stuff or in bill locked, your alliance loses strength, but it isn't updated.
Hence why, even after a war is over, there's always a tail off of strength throughout the loser alliances (somewhat counteracted by them rebuying military, though it will be interesting to see what happens now that military is worth less, which is also partially the reason for the relatively low NS loses in this war)