Nintendo (or whoever) will shutdown whatever users visit to download the thing they want gone. From a skim through the user guide, Radicle seems to only handle the dev/backend side of things and Nintendo wouldn't care that much about it. After all there are already several git mirrors of Yuzu, what was lost was the official "download this" page and the centralized Github bits (issues, etc), though other projects could like handle this bit just fine either as addons (Forgejo) or natively (like the Fossil SCM).
Ultimately what you'd do is distribute Yuzu with torrents, less convenient but can't be shut down.
Then the obvious choice is to also distribute the code with torrents, which is what Radicle is (at least spiritually) - plus it has the most essential forge features (PRs and issues).
And Nintendo is merely a convenient example that would have a chance of affecting you directly. Just like .onion these projects protect many different kinds of freedoms beyond what EFF would likely defend (sadly, that goes for the immoral stuff too). Chinese citizens collaborating on anticensorship software, for example.