These reviews seem very positive about the BioLite's charging ability, the question then is could it charge that Lithium Power-pack?

  (You need to Login or Register

MP is the electrical expert here; maybe he could speak to it?
Click on the tech spec tabs.

  (You need to Login or Register

These are for the larger Basecamp model.

  (You need to Login or Register

Biolite makes many charging type units that “might” be good for things like fish finders  IF they produce enough power?

IF your cooking a evening meal and could keep your batteries "topped" off at the same-time, it "might" be a good thing?