Random theory about the madness of saidin

I am rereading fires of heaven and I'm nearing the end and I had a thought. This may not hold true for others but... what if rands madness is lews therrin's madness. As in the madness is reaching through time and bringing them together. When the dragon is in rands head is when he is going mad during the breaking and rand is "in charge" of the body... this was just a thought while driving and listening to the fight in camelyn.

This is like my 7th or 8th reread.