^Now waittaminute.........
King Ludwig was irresponsible and prone to fits of fancy (such as spending all of his money on building castles)......but it was doubtful he was insane.
He indicated to his advisors that he wasn't satisfied with them and threatened to replace them all. Soon thereafter he was declared "insane" by a doctor that never even examined him.......and shortly after that he was found dead in a lake (along with the physician who made the assessment).
In truth, he spent his "own" money on the projects, once he ran out he borrowed from noble families. The people of Bavaria loved him, although when he died the state was stuck with a lot of bills.
Now.......years later, tourism proceeds from the castles he built have paid for them many times over.
So....insane, no. A dreamer out of place...yes.