Yes. Things that are critical to update regularly should be handled by the package manager.

I use AppImages when I want a specific version of a specific app. I never want them to be automatically updated because doing so might introduce breaking changes that might mess with my workflow. Imagine complex software like Blender or Krita updating automatically while you working on a specific project, possibly even breaking your saves, absolute horror.

There aren't centralized solutions that I know of, but there are projects such as AppImageLauncher[1] that can provide some automated management of that. It's not perfect but it is helpful.

[1]: https://github.com/TheAssassin/AppImageLauncher

Updating app images are solved if a few ways: https://docs.appimage.org/packaging-guide/optional/updates.h...

My Arduino AppImage self-updates - so I know it's possible