The burning nose wheel theory has been described as highly unlikely. It has no brake gear to heat up, and is simply a tire on a rim. Even if it was under-inflated during takeoff, the likelihood it started on fire and filled the cockpit with smoke isn't likely. (I've heard two pilots discredit that today.)
A tire snubber, as we call it. Or brake gear? As others call it, is not necessary for the explanation i gave. Am too lazy to look up several incidents that it has occurred.
Again, a nose wheel tire exploding from expansion of overheat during the rotation in and of itself would NOT fill the cockpit with smoke, However, damage an exploding tire could cause in the E and E bay Most certainly could. Any pilot saying otherwise, well they can just keep on believing that..