So it similar to to Byteball? I got some Byteballs by signing and verifying messages. It was a waste of time, I was unlucky to bother with this by the time they did the 180 on the rewards to try to stop dumping. Don't expect much, something along the lines of 10 bucks wort of 10 BTC signed, or at least it was this shit the last time I signed them. Not sure what % they are giving to holders now, they raised it apparently, but I didn't even bother opening my wallet since then.
Bitcore? Yes, but instead of a bot there is a website for claiming coins. Bitcore also has weekly 3% airdrop for wallets with at least 10 coins (now registration is required) and there will be another airdrop for bitcoin holders on November 2nd. All information is in the first messages of this thread: https://bitcointalksearch.org/topic/annmain-bitcore-btx-datacarriersize-up-to-220-bytes-1883902.