Yeah I got the Nuball too. Once I got it I was going to stop cleaning them after every use, but the pro shop guy said I should still do that too. Of course he just wants to sell me more cleaner. I see only maybe one other person cleaning their ball right after use, which is when you should do it.
Consequently I get very little oil when I use the Nuball; maybe a drop or two in the cup, although the ball is covered with it.
I think I might go ahead and just use the Nuball, the cleaner is getting expensive, and getting it on my hands so much probably is not good for my health.