The Grief over the use of x64 for AMD64 or X86-64 is based in the prior use of "x64" for the DEC Alpha architecture in the hardware naming: "DECchip 21x64" [0]
Digital was earlier to market the Alpha as a 64 bit ISA than either Intel's Itanium ( IA-64) or AMD's x86-64 which is also called AMD64 [1]