I already replied to you with a PM, but I'll post it here too, because it might help others.
From your log, it shows the MSFS version of KORD HAS been updated successfully, as indicated this text:
"License for FSDT Chicago O'Hare for MSFS verified successfully, proceed with update"
The text you are referring to appeared *BEFORE*
"KORD V2 Update skipped The latest KORD V2 Full installer must be downloaded and installed before Live Updates for KORD V2 will work again"
Is not referring to the MSFS version, which is called "FSDT Chicago O'Hare for MSFS", it's referring to the P3D version, which is called "KORD V2". So, the full installer is referring to, is the P3D version, which IS always freely available on our site.
The reason why it requires to reinstall with the full installer, it's because after P3D V5 came out, we had to change two separate version of the scenery ( because P3D V5 PBR is more extensive than V4 ) which requires changes to each sim add-on.xml, which can only be made by the installer, not the updater.
It seems you have KORD V2 for P3D installed, but you never ran the FSDT Live Update in a long while, likely before P3D V5 came out. Note that, it doesn't matter if you have P3D V5 or not, even if you have V4, if you have the P3D version installed in V4, you had to run the full installer for P3D in any case. And THEN, as the message says, Live Updates for the P3D version will continue to work again.
So no, there's nothing wrong with your KORD MSFS update, the message referred to the P3D version, which you haven't updated in a while.