While not statically linked necessarily, app images do attempt to bundle dependencies such that they “just work” as self-contained executables on most Linux distros - which is what the poster above seems to care about.
Example: LibreOffice download size (source)
- AppImage ~248 MByte
- Snap 463 MByte [July 2020 update]
- Flatpak 543 MByte
EDIT: formatting