Second Prince literally says that the Emperor's life is up to Rurahel's whims. "But why did he sleep with Rurahel if he loved the deceased empress so much?" Gee, idk, maybe he cant afford to die yet because he's an emperor of an empire and the next in line is still just a child? Smh, stupidity continues.
Also the twin's train of thought... They can't trust the emperor despite the clear explanation but apparently trusts information from nobles, who, they said and experienced, hates bastards and half royals. /shrug