[Arran]

 Short of replacing the cracked veneer I think that any sort of repair you try is going to be temporary, it's too sharp of a bend and there is no enough purchase on the side of each crack towards the rear. This seems to be a common problem with sharp radius bends on Philco cabinets of the 1937-38 period. Since I don't have such a cabinet to examine I can only speculate that the cause may be in that they used some sort of solid structural wood under that veneer that expands enough to snap the veneer right across the grain. That being said it is also a very sharp bend on this cabinet, even sharper then the radius above the control panel of a 37-116.
Regards
Arran