No, sorry. That's just not true. He does not have the ballhandling skills of Chris Paul. Again, I'm not saying he's bad at it. I'm saying you overestimating his ability in this particular area. I agree about the Reggie Miller part, but not this business about his ballhandling.
It's a debatable point, but they're not far from one another. NBA.com had an article earlier this year putting him ahead of CP3 (link), and most "top ball handler" lists I've seen this season have had Curry ahead of CP3. He's not as good as a distributor, but his handle is just as good. Regardless of whether he's as good or slightly behind CP3, he's still one of the top five ball handlers in the NBA right now... and is also the best shooter from range.