I’d argue stick is more practical. You’re already outdoors, stick gives you walking aid, brush clearing, spider web first defense, potential weapon. Even non perfect rocks are useful but a great stick is mikes ahead of a wonky one.
The stick seems less of a win. Its big and cumbersome once it outlives its usefulness or it breaks. The rock can provide longer but smaller returns, and can outlive your ancestry if taken care of.
Honestly, people might judge me for carrying a stick out of the woods, a rock can get stuffed in my pocket. The stick will eventually lose its charm and just be in the way. The rock is small and can be forgotten and not be in the way.