Even then I doubt it would crack 40,000 ft.
I remember sending a Lightning back to Binners from STCAAME with a snag about '86. Can't remember who was flying it now but it topped out at FL330 in two and a half minutes from brakes off in full reheat.
Max altitude I ever heard anyone getting one to was Dave Roome who got one to just over 88,000' over Singapore. That was obviously a run to Mach 2 at 40k and then about 15 degrees nose up until it topped out. Engines stayed lit too amazingly enough.