Solder mod + native hardware = there will be input lag. If you’re truly desperate to play Gamecube in HD 16:9 on a flat screen, emulation is the way.

On iOS your option is Safari and that’s what you’ve been using, even if the icon says Firefox or Chrome or Brave. It’s against Apple store TOS to have a web browser with an engine in it - they all have to be skins for Safari (Webkit). Different “iOS Browsers” will offer features on top of the Safari that actually does the browsing though, like account sync or built-in ad filtering.

The only platforms out there that are more hostile to open source software than iOS are like, game consoles.