I don't understand, the landing page says "self-hosted" and offers docker images. Then the linked hamsterbase GitHub repo [0] has no code in it.

Is this open-source or proprietary software?

[0] https://github.com/hamsterbase/hamsterbase

Also curious- why use a rodent-oriented name for such an amazing project?

If you must stick with the rodent theme, "GopherBase" sounds a little less icky IMHO. Otherwise, what do you think of "SelfWayback"? :)