The Mac Mini has no integrated GPU and is dead because of this reason. Why would I buy such an elegant device if I have to hook an ugly eGPU case.
They do - they use Intel UHD Graphics 630, which is an Intel GT integrated GPU https://en.wikipedia.org/wiki/Intel_Graphics_Technology.
How did you think they were running the display? They can't squeeze a tiny discrete graphics card in there!
And regarding the size: Who cares? It's not a portable device, so make it a bit bigger and no one cares but is happy that the hardware is better.
Lol you said it didn't have one a second ago!
Your interpretation of what he/she wrote makes no sense for any non-server hardware. If it can show something on the screen it obviously has a GPU (it just might be garbage).