You've never seen a fast-running stream on level ground? What matters is the height of the source versus the ultimate destination. The middle can be fairly level, and the stream will still run fairly quickly. And will carry pebbles and sand to help with erosion. Basalt WILL erode over time, if "over time" is on the order of millimeters per year.
It's time for you to either study up on fluid mechanics, or bail out of this conversation. The velocity of water in an open channel is proportional to the slope, and inversely proportional to the friction of the channel.
You can start by looking up Manning's Equation, then you can write your paper on fast moving water in flat channels.
See ya next year, ok?