This seems to be about hosting an Sqlite database on a static website like GitHub Pages - this can be a great plan, there is also Datasette in a browser now: https://github.com/simonw/datasette-lite
But that's different from how you collect the data in a git repository in the first place - or are you suggesting just putting a Sqlite file in a git repository? If so I can think of one big reason against that.
Yes, I'm suggesting hosting it on GitHub, leveraging their git lfs support. Just treat it like a binary blob and periodically update with a tagged release.