Same recovery phrase to two wallets?
blockchain.info's recovery phrase is a BIP 39 phrase. They use BIP 32 derivation and BIP 44 derivation paths IIRC. This means that you can use the recovery phrase to import your blockchain.info wallet into any other wallet that also support BIPs 32, 39, and 44. Since it uses BIP 32, you will have access to all of the private keys that you used on blockchain.info.