If only some people would stop contributing to creative work you don't see the value of and distributing it for free on the internet!
At present you have
Debian and a bazillion ubuntu derivatives using a debian package. ubuntu/debian are going to have different versions of some libraries but you can package deps with your app.
Arch and derivatives have a pkgbuild. This is quite simple if anyone cares about your app your arch users will probably upload one for you to the arch user repo.
Fedora and suse have rpms. These will be similar but not identical.
3 packages and you can cover most of your potential users.
In the future you reasonably may expect to be able to distribute a flatpak and be done with it.