Go to the KLOV (down at the moment) and look at the number of coinop games that use the bog standard "00" 68k - and a great deal of those predate the Amiga.
Having a 68k processor floating around on your mainboard doesn't make your system an Amiga (or even close to it). I mean, look at some of the SCSI controllers for the Amiga - very clearly labeled AMD chips. Does that make the Amiga an AMD?
Bonus: at least a couple of coin-op games are nothing but Amigas - Mad Dog McCree and Periscope Up!, for example.