It's their reimplementation.
But I guess they've just rolled it into the Cursor repo? Idk, because Cursor itself is proprietary.
There's a similar extension for WSL integration, though I'm not 100% sure if Cursor's implementation of this feature is based on it: https://github.com/jeanp413/open-remote-wsl
You can sideload proprietary VSCode extensions to add them to VSCodium or some downstream fork, but you may also have to patch the extensions themselves because some of them refuse to run if they aren't being used with Microsoft's VSCode: https://github.com/OliverKeefe/vscode-extensions-in-vscodium