Years ago, I always took a big bushcraft knife because, well, I always took one. Everyone did. You couldn't possibly survive in the woods, even just a long day hike, without a Rambo knife.
Now, I take a SAK Classic, mostly for the scissors, and rarely if ever use it. My last 3 hikes I haven't needed to use it for anything, and that includes food prep.
So no, I vote that you don't need a knife. A small cutting tool, like a pair of mini scissors or a razor blade, yes. But a legit woods knife, absolutely not.
With that said, if the object of my trip is bushcraft oriented, I take a 5 inch Mora, a Laplander folding saw, and/or my Gransfors Bruks Mini Hatchet.