Sorry if I wasn't clear.
I'm not entirely sure on the details. Here are the facts:
Intel Graphics: Good
AMD Graphics: Bad
nVidia Graphics: Bad (although we have a partial solution no thanks to
nVidia)
Motherboards with AMD CPUs: Good
Motherboards with Intel CPUs: Bad
You can't get a motherboard with an AMD CPU and Intel graphics as the
graphics are integrated on the CPU.
Even before Intel was putting the graphics on the CPU there were no
motherboards with AMD CPUs and Intel graphics.
If you go back far enough there was a time when you could get an Intel video
card and a motherboard with an AMD processor. There is a slight chance the
PCI video card would work in a newer AMD motherboard. The problem is these
are video cards from the 1990's. I don't know if Intel was cooperating at the
time and even if they were the video cards were not 3d accelerated. In fact
they probably supported a maximum resolution smaller than would be acceptable
today. 1024x768 would probably be the max at the time if I'm not mistaken.
Possibly less. I'm not entirely sure when these cards were around. It might
have been limited to 800x600 even.