Arch and rolling distros work differently. That doesn't mean you can't have a recent version of OBS Studio under Debian Stable. Right now in the Debian Stable (12/Bookworm) repository is version 29.0.2, which works well. If you need a more recent version of that, you can add the Deb Multimedia repository which has version 29.1.2. So that is quite up-to-date. Plus there are other recent OBS packages (snap?) that you can use with Debian Stable.
By using Debian "unstable", yes, you're getting a rolling release, but not one that is meant for general usage, unlike Arch and others. Use Debian unstable if you are a Debian developer, or similar. Otherwise use Debian stable or perhaps testing, if you want to be a bit more recent package base.
You could move the OBS config and see if it goes away:
Bash:
mv ~/.config/obs-studio ~/.config/obs-studio-backup