I have a cron script stashing whatever is currently in an obsidian vault into a fossil repo. There's a fossil addremove command that makes that very easy. Thus distributed backups of said vault.
I would say git core concepts are pretty similar to fossil concepts, but actual plumbing implementation details are pretty distinct.
The major difference that I remember from a day-to-day "git porcelain" perspective is that rebases and other types of history rewriting are very discouraged.
For a Rosetta stone of somewhat comparable commands: https://fossil-scm.org/home/doc/trunk/www/gitusers.md
> Can it sometimes use existing git repos
You can, but it's kinda a lot of really slow busywork. And you lose some of the not-file-dvcs features of Fossil, but it is possible.
This page explains how: https://www.fossil-scm.org/home/doc/trunk/www/mirrortogithub...
Somewhat git-compatible, based on sqlite3.