Yeah, rinse it REALLY well before to keep organics (dead bugs, leaves, mud, etc) out of the pool. Even more than pee or sweat, this is what really messes with pool chemistry and gets pool sessions shut down to boaters.
Then rinse it well when you're done to keep the chlorine off. That Aire Spud is a bladdered boat, may want to rinse it a bit more than a boat without a separate skin...could even deflate it partially and unzip it partway to get some water between the outer hull and the bladder.
If I'm doing pool sessions, I will typically clean one boat VERY well, then keep it clean for the rest of the pool season. Once I hit the river, I forget about pools and keep boating.
Similar logic applies when moving from one body of water to another to prevent the spread of aquatic invasive species.