Durable Objects are fully supported by workerd (and Cloudflare OS uses them extensively).
There is, however, one catch currently: Durable Objects don't scale out well without the global scheduling. For running Cloudflare OS for one user, this is actually no big deal, but a company-wide instance might not work well.
But I'm actually fixing that:
https://github.com/cloudflare/workerd/pull/6780
Unfortunately didn't get enough time to land it before this release, but it'll come soon.
With that I would expect a self-hosted Cloudflare OS on your own cluster to work quite well.
But workerd can be used directly without wrangler, and is production-capable in that format.
Unfortunately we did not have time to put together example configs for this before launch (I wish we could have delayed, it was out of my hands), but we will be doing so soon.
Mentioned in the readme here:
https://github.com/cloudflare/cloudflare-os#deploy-to-your-o...