I think they can have both: Ego Draconis did it pretty well, having a number of random, odd and absurd touches, be it the handstand at the apex of a ladder or the hermit-with-the-wit-of-a-carrot, or the Broken Valley Village gossips, or the gravestones, or the Horror of High Hall's exclamation of "oh bugger!"... etc. But I don't think it detracted at all from what was actually quite a serious storyline, and something which I found to be quite heart-rending more than once.
I'm not familiar with the game, maybe I'll have to check it out, but I think the problem I'm having with it is similar to the uncanny valley. (
Uncanny Valley) Hiding in a bush isn't silly enough to be acceptable, but it also isn't serious. Just a thought.