Historically speaking, at least from the perspective of Bruno's past life. Kaiser Wilhelm II had been boastful, temperamental, and in many cases, belligerent.
As if he had a chip on his shoulder due to a birth defect he suffered from, the man in that life had been rather difficult to work with, especially when it came to the British who he in many ways had a desire to prove to be better than.
This was not the case in this life. Many of the personality changes which Bruno noticed had been present in the Wilhelm of this timeline were no doubt to a greater degree of self confidence resulting from the mere fact one of his arms was not vastly shorter than the other.
This was a birth defect he had suffered from in Bruno's past life, and if the historical record was to be believed had nothing to do with his genetics, but rather was the result of the way he had rested in his room stunting the limb's growth.