I did more than 5 installs this weekend (for ... reasons) and the "trick" IMHO is ...
Do NOT install things ahead of actually needing them. (of course this assume things take minutes to install and thus you will have connectivity)
For me it meant Firefox was top of the list, VLC or Steam (thus NVIDIA driver) second, vim as I had to edit crontab, etc.
Quite a few are important to me but NOT urgent, e.g Cura (for 3D printer) and OpenSCAD (for parametric design) or Blender. So I didn't event install them yet.
So IMHO as other suggested docker/docker-compose but only for backend.
Now... if you really want a reproducible desktop install : NixOS. You declare your setup rather than apt install -y and "hope" it will work out. Honestly I was tempted but as install a fresh Debian takes me 1h and I do it maybe once a year, at most, no need for me (yet).
Another "trick" I use is having an ~/Apps directory in which I have AppImage, binaries, etc that I can bring from an old /home to a new one. It's not ideal, bypassing the package manager, and makes quite a few assumption, first architecture, but in practice, it works.
Use appman and set the install directory to ~/Apps and now you will be able to install appimages/binaries in the ~/Apps dir using a package manager that keeps them up to date and that you can move to any other distro, I have all of this:
Although more recently for binaries I've been using this instead, which pulls from a massive repo of static binaries, though note that dbin needs its own separate directory in HOME to install binaries (you can't use ~/Apps that is).
Hmmm very interesting thanks for the links and explanation!
I'm not "ready" for it yet so I've bookmarked all that (by adding a file in ~/Apps ;) but that's definitely and interesting, and arguably neater solution.
Honestly I try to stick to the distribution package manager as much as I can (apt on Debian stable) but sometimes it's impossible. Getting binaries myself feels a bit "wrong" but usually works. Some, like yt-dlp as I see in your list, do have their own update mechanisms. Interesting to consider stepping back and consider the trade off. Anyway now thanks to you I know there are solutions for a middle ground!
Also this is a good way to re-consider integration back, e.g. generating .desktop files for /.local/share/applications/ when using KDE rather than having to manually do it each time.
AM puts the .desktop files in /usr/local/share/applications
AppMan puts them in ${XDG_DATA_HOME:-~/.local/share}applications
They also get symlinked in PATH, that is you can launch yt-dlp by typing yt-dlp on the terminal as if you had installed it with your distro package manager.
Very cool, sincere thank you for the clarification and even on-boarding process. Installed this way, feels quite efficient. Will dig a big deeper while using them more.