"Fully-owned" when it's relying on GitHub Pages, Hugo, Obsidian and Cloudflare to function.
Two of which are services operated by a corporate entity and one of which is a closed source piece of software.
The only thing "owned" here is the fact that the entire blog is simple markdown and the domain name. However, that doesn't mean it's very portable. It's not impossible, but it's a lot more work than I would want to do.
Obsidian is just a very convenient markdown editor. You could rip and replace it with another editor trivially. You just don't get the convenient UI