There was an actual project to run the Dolphin emulator on the Xbox 360 hardware. This was a "homebrew" endeavor, distinct from the official PC development.

: Supports Vulkan (best for performance), Direct3D 11/12, or OpenGL. Performance & Setup Guide

: It is widely considered a "skin" or a minor modification of the existing Dolphin MMJ/MMJR versions rather than a new emulator from scratch.

Dolphin 360, in its unfinished state, had a catastrophic bug in Hermes—the memory translator. When switching between a GameCube game and an Xbox 360 game without a full system reset, the memory manager would sometimes write garbage data into the virtual GPU cache. On most PCs, this caused a crash.

Dolphin standalone has been ported to Xbox |MVG : r/emulation

He called it .