IF no dependency tries to update too. Off course in that case I would stop. Without pacman -Sy, I never do that anyway, only -Syu.

That's all you need to know. As long as you always use pacman -Syu you will be fine. pacman -Sy is the real problem. The wiki page is pretty clear about the sequences of commands that are problematic https://wiki.archlinux.org/title/System_maintenance#Partial_upgrades_are_unsupported.

Right? What i don’t understand is, when I uninstall with pacman -Rs firefox, delete the cached firefox package (only that file), then the system is in the same state as before I installed it. Then -S firefox should be okay, right? And it even looks up the new version.

This isn't correct. It won't look up the new version. Assuming that the system was in a consistent state it will download the exact same package that you deleted. The system only ever "updates" when you run pacman -Sy. Until you use -y all packages are effectively pinned at a specific version. If the version that gets installed is different than the one you removed it probably means that you were breaking the partial update rule previously.