I didn’t catch the swap was between 01-03. The ENTIRE electrical system changed in 03. It went from a non-LAN system to a LAN one. Nothing in an 01 including computers, cluster, etc will work in an 03. I know this from harsh reality when looking for things like instrument clusters, folding mirrors, door switches etc, Everything for an 03 has to come from 03-06 and everything for an 01 has to come from an 00-02. Even stuff like the headlight switch is different. I recently forgot and bought a headlight switch that had the indicator light telling you when the low beams are on. The plug in the back is completely different because it’s an 04 and mine is an 02.To add pretty sure a few things were different between 00-02 and 03-06...such as cluster, interior lights (floors, glove box) and a few other things. Probably a different swap from a 01 to another 01.
This means that you would need to swap over every single electrical item including harnesses, modules, switches etc. I don’t even know if it’s possible.