What's your problem with the headline as written? You could argue that the preposition should have been "from," but "draws from" would be even more ambiguous.
If you're going to rail on stupid copy editors, you really shouldn't be asking what he uses to hole the pencil. And you should know that memory does not reside in the medulla.
Yes, hole = hold
Yes, I think it should say draws FROM memory as one does not physically use memory with which to draw. Either ‘from’ or ‘with’ is incorrect in this statement but allowing for ‘Headline grammar’, from would have more clearly expressed the essence of the desired communication.
Yes, I know memory is not located in the medulla. I was simply reaching for something with which one could conceivably hold a pencil.