If your distro provides everything you need then I would avoid flatpak. Getting apps to speak to each other is a pain, updates use more data, backups and restores take much longer, they don't perform as well and config files are not necessarily where you expect them to be.
I have Debian Stable on an older laptop and only install apps as flatpaks if they are not available otherwise. I also have a very new laptop with Fedora on it (because it needs a newer kernel) and have had to install more flatpaks just to make things work properly, because they include their dependencies, codecs etc which are missing in Fedora. Appimages seem to do this too and I find them preferable to flatpak because they integrate more predictably with my system. Apps are slower to launch though and have to be manually updated.
Like you, I'd prefer to just have a package manager and a single source of software and plan to go back to Debian when my newer machine is supported by it.