I had my blockchain.info wallet linked with Byteball before. Now according to changed situation I have transferred to HD Cored wallet which is multisigature. If I understood well now I can link new wallet using sign message, am I right ? If I send directly the funds will keep moving to automated generated addresses.
Be aware that you cannot (easily) sign messages with a MultiSig address... I'm not sure if Byteball supports the "send a small payment" method to prove address ownership, I dont see the option when I try to link an address. So, you may want to use a standard address wallet rather than MultiSig.
Also, you don't have to use new addresses with HD wallets... it will generate new addresses by default, but the old ones will continue to work.