From my understanding, LYNX is an enterely new blockchain independent from the current kittehcoin blockchain, but with which the current private keys will work to get the exact same amount of coins you have. I may be wrong thought, so if a dev could clarify it up that'd be cool.
Also some clarification about how the wrongly created coins on the current blockchain will be handled, like if they'll be destroyed by code or something else to make sure the old "hacker" will never be able to get them back, would although be greatly appreciated.