Literally all of it, yeah. A baton of the same length would be as fast, if not faster, as it wouldn't need to compensate for the drag of the chain/link on the end of the object needing to pull taut - Someone of identical strength and speed would hit you with a full baton before they could hit you with a baton cut in half with something between it.

Any amount of rebound caused by a link of chain or rope would be absent in a full stick. Clubs do not have a link between them that can slacken or release force. The difference between a Tonfa or "Flute" hitting someone and a nunchku hitting someone is fairly insignificant, but given all its other failings as a weapon in comparison to a baton, it really only comes into play any time you only have it as an option, or if you need to pretend to be a farmer trashing wheat so that you don't get it confiscated. Any other weapon that is less complicated in designed would be better, I'd say.

Obviously you can make a better version of it by increasing the mass on the end, like in the case of a flail - But the key there is to make it heavy and studded and on the end of a long stick, and even then, if you gave one person a spear and the other person a flail, I'd put money on the person with the spear... Cos, you know, it was the king of the battlefield, really. They just made'em longer and added more killing bits until the Bec De Corbin was finally invented and everyone agreed that mankind couldn't handle weapons that powerful.

... Then the US nuked Japan, proving we can, but it makes a bunch of people who want to have sex with cephalopods.