Honeycomb seems to be more of a general events database, ala Druid.
This is a more specialised system that makes stronger tradeoffs to achieve really high efficiency for logs data. Stuff like indexing a reduced alphabet and not optimising for pivots and other views that are important for generic event databases.
Additionally Honeycomb is a hosted service.
I definitely intend for this to run in your own environment, on your k8s cluster, VMs, bare metal - whatever makes sense for you. If I do run it as a hosted service it will come secondary to the primary on-premise distribution.