Wait? As far as I know, there never were any functional nuclear airplanes OTL. The closest thing was a proposal to put a reactor in the fueslage of a B-36 just to see how the concept might work. The plant would not have powered the engines. We have no evidence regarding what might have been the actual disadvantages or advantages of a nuclear-powered super giant plane.
One of the disadvantages was the chance of it all ending up in a mushroom cloud if the plane crashed....