On Linux Mint, it's possible for an appimage to fail to load if it's missing a dependency, in which case it will just fail silently, not telling the user that it has crashed.
Note: this is different from the other and more common way appimages will fail silently.
In this case, it's possible to view the error message by running the appimage from the terminal, e.g.:
./krita.appimage
This isn't ideal and I expect to see an actual error dialog when an application fails to load like this. Windows has always been able to tell when this happens.
liblcms2-2.dll isn't found on Windows 11, preventing Inkscape from starting.