Actual river cane will make an arrow but it isn't as good for arrows as many other canes(bamboo), native or exotic. River cane grows to 15'+, 3/4" in diameter, thin walls, large center opening and large nodes. You have to get shafting from the top 3' or 4' of the culm. Like I said before I have a few arrows that were given to me made from river cane so they will make good arrows but IMO other cane makes better arrows.
My point is every arrow cane is not river cane. I'd almost bet very few arrows are made from true river cane. The nerd in me wants to use proper names for materials used so it is clear to everyone what exactly the materials are used for arrows.