Well, your sceptic side has provided us with an excellent tool for investigating the cart's behavior when (all humbers should look away now) running the "equivalent" of DDWFTTW! As spork said, this proof is pretty solid! Nicely done!
17 rpm will be the same as having the turntable complete ten turns in 35 seconds. If you have an adjustable speed on your drill, I would really appreciate you checking this for me. The cart needs to stay more or less in one place while the tt is running. A slight tilt of the tt will likely show up as a low spot that the cart likes to stay close to on extended running. That's okay if it does that; might make it easier for now if it does that.
I don't think the double cart will do much different. The only external resistance is from the bearing on the shaft that holds the arm that holds the cart. I assume that amount of resistance is quite low; if so the double cart will be a very small amount faster than the single cart.