The need to install libfuse2 is mentioned in both the Ubuntu 22.04 LTS release notes and the AppImage documentation.
Ubuntu has switched to fuse3 in the main section. To install libfuse2 by default anyway would be unusual and we’d need the Ubuntu Security Team to agree that they would want to maintain security support for an unmaintained obsolete library.
Ubuntu supports apt and Snap by default. It’s a single package to install if you want to use AppImage, and another package if someone wants to use Flatpak.