Don't know if its a photographic artifact, but it seems like there is a lot of green sapwood on the outside. If it is green (still wet), I'd be hesitant to put any finish on it until its is drier. I wonder if the water is trapped under a finish that at some point in the future, ig the stick heats up, the expanding water might cause the wood to crack.
I've used tulip for frame making, and finished it with nothing but paste wax. I haven't used any for walking sticks, but I'd be inclined to go with several coats of oil, Danish, Tung, Teaks, etc.