I am going to integrate Litestream into the thing I am going to building[1]. I experimented with a lot of ways, but it turns out there is WebDAV support recently merged, not in the docs.
A better question to ask is why the world needs yet another DBMS, but the reasons are no doubt valid.
I think the devil's in the details though. I expect a high number of unusual bugs due to the novel code, networking, and multiple abstractions. I'd need to trial it for a year before I called it reliable.