amd64 is the name for the architecture that both intel and amd use in their 64-bit desktop processors. It has that name because it was originally amd that released the architecture (and intel used itanium at the time).

They should consider renaming that ISO to something more affordable - I had no idea that it was compatible with Intel CPUs.

It would then confuse the plethora of users who are already familiar with that naming standard.

And those are usually mean old bearded Unix old-timers that will strike down upon thee with great vengeance and [condescending] anger.

And you do not want to upset these people.

Disclaimer I'm a young Unix old-timer, currently growing a beard.

everyone* already knows what amd64 means

* almost everyone who cares

On this topic, wikipedia says

"After launching the architecture under the "x86-64" name, AMD renamed it AMD64 in 2003; Intel initially used the names IA-32e and EM64T before finally settling on Intel 64 for their implementation. x86-64 is still used by many in the industry as a vendor-neutral term, while others, notably Sun Microsystems (now Oracle Corporation) and Microsoft, use x64."