An aside to the technical question of how to migrate profiles to older versions:
DO NOT DOWNGRADE FIREFOX BELOW 131.0.2 OR ESR 128.3.1, 115.16.1
I feel that given this recent vulnerability, it is important to make this notice.
Otherwise:
For migrating profiles between the same major version, Mozilla provides a guide for full profile migration. This also works with forwards compatibility. I generally wouldn't try to go backwards however as many new major versions change the data format and contents of your profiles, which older versions have no idea how to interpret.
For downgrading, it's best to export bookmarks, go through your important addons and backup the settings for each one that needs configuration, and take note of anything you're previously modified in about:config to your preference. Perhaps take screenshots of your tab bar and overflow menu as well so you can recustomize them to your liking easily on the downgraded version.
A good amount of distros actively have this functionality. To avoid breaking system packages, you can install the distro package for the given module or as the error recommends: use a venv for the given project.
As to why many guides don't include it, I suspect as typical for many Linux-centric articles: they weren't been written by knowledgeable individuals or just in general are writing with knowledge that is often 5+ years out of date.