I might be wrong as I wasn't around when this happened but Frigidaire introduced the Touch-N-Cook ranges in 1973 before Amana introduced their Touchmatic microwaves (about two years later). They do look similar and they both use touch-sensitive glass panels but I don't know how closely they're related. I think the circuits for Frigidaire Touch-N-Cook ranges were made by American Micro-Systems while those on Amana microwave ovens are made by Texas Instruments.
Amana did supply Frigidaire their later Touch-N-Cook RCM-9 and RCM-10 microwaves which shared their internals with Amana Touchmatic microwaves. The fonts of the numbers on the Frigidaire Touch-N-Cook Microwave panels matched those of other Frigidaire Touch-N-Cook ranges, ovens and cooktops while Amana had slightly different, more rounded numbers on theirs.
Cory or Ben could probably tell more about that...