instead of searching and installing all your apps one-by-one

And... that takes what, a good all 5 minutes?

Honestly unless you either re-install an OS frequently (which is a weird thing to do on a day-to-day system) or plan to go offline for a long period of time I bet you'd spend more time finding a "solution" then not doing so manually.

I'm not you but when I install a fresh OS (maybe once every couple of years, at most!) on my desktop (not counting other devices, handheld, servers, etc) I install

• Firefox (if it's not already by default, if it's ESR then I might get a different update mechanism)

...well honestly that's it!

Then yes as I start to work I add KDEnlive, OBS, Blender, Cura, OpenSCAD, etc.

My point being that I can't imagine a moment when, as you start the OS you actually need all the other software at the same time. You usually need one, then another, e.g. Inkscape to edit a PDF document you just received, then you pass the extract image to e.g. LibreOffice Writer.

So... not having everything from the start is IMHO a good moment to consider what you actually need, keep things lean.

TL;DR: there are technical solutions but on a desktop connected to the Internet it's not worth it.

PS: I do personally keep my bash history or my ~/bin/ and ~/Apps/~ directories across installations (because I do keep ~` on a dedicated partition) with some AppImages in but honestly I don't rely on these.