I've tried googling the heck out of this one but it keeps coming up with kind of derogatory terms (such as Bird-brained, etc.) You'd thin it might go something like "goosd-esque" or "goseline'' (if that were a word.)
There appears to be plenty of synonyms for gooselike (silly, stupid, etc.) but consistently the only antonym for gooselike I can find is "smart".
Yet I've never met a silly goose or foolish or any of the rest, to the contrary.
We need a word meaning wise, protective, faithful, endearing and astute (everything else we know a goose to be) as a goose...something to propose to the O.E.D.
Shakespeare said,"What fools these mortals be!" He spoke on "sauce" for geese, "wild goose chases"...but nothing derogatory....