germans were invading and pillaging a long time before Nazi's came to power and that is not unique to Germany - think Napoleon, so it is more likely than not that it was simply stolen, perhaps repeatedly over a couple thousand years.
Ludwig I of Bavaria never invaded Italy but he did frequently travel there for pleasure, and was known for purchasing antiquities and art.
> so it is more likely than not that it was simply stolen
You really have little rational basis for this belief. Could it have been stolen? Sure, maybe by Ludwig or maybe by whichever Italian sold it to Ludwig, or maybe by the great-great-great-great-grandfather of whoever sold it to Ludwig. But "more likely than not" stolen by Ludwig? Such confidence is merely a reflection of your biases.
