Guess the same would apply for veneer but the costs for shipping would be insane.
Luckily no one was around when it happend. Just a poor door... but while I was on my way to get some beer, I had what will hopefully be THE idea to fix the whole thing without having to buy new wood (I'll have to get some new bright veneer). I'll just "disassamble" the whole thing, maybe use what is left of the headstock for something else in the future, redo the neck and use some left over piece of walnut from the body for the headstock. Doing that, I will also solve the problem of getting the headstock from 3 cm down to max. 1.7 (or less, because I wanted to put 3 layers of veneer on it, then shape it), because that wood is already at 1.5. Cheers!
EDIT: looks like sending some veneer to any place via German Post is rather cheap... (I thought about ordering some stuff from the USA some time ago, UPS website told me it would cost over 100$, which is just rediculous) so if it is about the same cost in the other direction I might PM you someday I successfully disassambled the neck and now got 5 pieces of wood again. Still, this sucks!