Yes, but then, if he removed all of the good parts from him, his good self, and even his physical heart (said in wrath icecrown quest chain) how could there is still be something to hold his hand?
Thats kinda the problem in the whole Lich King from Wrath to me, is that they constantly say that he is in control and even removed everything that made him human but still it is implied that there is still something staying his hand? But what?
I remember in a CDev this question was asked to Metzen which he answered that we are free to speculate...