> The GeForce 3 was unveiled during the 2001 Macworld Conference & Expo/Tokyo 2001 in Makuhari Messe and powered realtime demos of Pixar's Junior Lamp and id Software's Doom 3. Apple would later announce launch rights for its new line of computers.
-- https://en.wikipedia.org/wiki/GeForce_3_series
Naturally outside PC, there were other stuff predating programmable graphics, however if we stick to the PC, XBox follows PC, not the other way around, specially since the first one wasn't that great versus PlayStation 2 in market share, even if there were some great games like Halo and Fable.
It might have been easier to port to because of good OS design, but running games for it will still be inefficient compared to running on actual hardware.
You apparently don't know the Story how Sony spent big R&D-money with IBM to transition from MIPS to the custom PowerPC Cell Architecture, while IBM was already selling parts of this development to Microsoft for Xbox 360, and Microsoft ultimately beating Sony in market-launch with a chipset Sony partially financed...[0]
There's a nice book about it from two of the IBM Chip-Designers called "The Race for a New Game Machine" by David Shippy and Mickie Phipps
[0] https://www.theguardian.com/technology/blog/2009/jan/01/sony...
Furthermore, said era is also right after Denard scaling came to an end, which means that current hardware doesn't have that much better specs, at least in easy-to-use form, than the hardware of the time. If any game tried to take the hardware to its limits, it would be a real struggle to emulate it with regular computers.