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.
This browser was a port of the popular KDE web browser and had nothing to do with Nintendo emulation. Many gamers modding their consoles for the first time often confused the dolphin 360 emulator
: It is a "final version" or "legacy" project and is no longer actively updated like the Official Dolphin Project Source Code Dolphin 360 Emulator: Complete Setup & Usage Guide