You were lucky that your old address was still active and tied to your account. Some other exchanges/services work differently, if you make a deposit to an old wallet, the sent money will be lost.
When I talked to the forex broker about this they insisted money be withdrawn to the wallet used to make the initial deposit. I can't have been the only one who experienced this so they must have some sort of policy in place for extreme cases. Either that or they continue to refuse to make the withdrawal forever which benefits them since the money in the broker is effectively theirs.
Coinbase support says that all previously used wallets remain tied to the account and are never removed. I wouldn't be surprised if Shakepay works the same way however their support is pretty bad and I've still yet to receive a reply from them.
In any case, I feel lucky that I got my money out and will stick to wire transfers for now while I wait for banking institutions to adapt to new tech.