There's a ton of differences that matter to refurbishing, no doubt. Different eMMCs, different chips on the board, different cooling needs, different board layouts, different ports, and more.

What really mattered to end users though was "this disc says Xbox 360. Can I put it in the box at home that says Xbox 360 and have the game run properly?" This didn't really matter if it was a Jasper motherboard or not. The game ran practically the same from a user perspective regardless of which board revision you had. I can go pick up any generation of 360 that still powers on and any 360 game off the shelf and it'll work pretty much how the developer intended.

Meanwhile, if you don't really know anything about computer specs, who knows if a game will run on your computer? This was a $3,000 gaming PC, it should run anything! I bought it in 2002 though, is that a problem? The Radeon 9700 Pro from that red GPU company, probably better than that Radeon RX9070 right? Bigger number and all, and after all its Pro. And its got 128 MEGA bytes, probably better than that other card's 16 something or other.