Sean, again, I have to drive home the fact that you don’t seem to undertand that Coinbase is an exchange. Their “wallet” is an IOU. It’s not a secure wallet in the Blockchain.
That’s like saying PayPal is a bank vault.
PayPal has all of your money in one place and gives you your money when you request it. Like a bank.
A bank vault is a secure and isolated place where you store your money (or gold bars). Very different things.
A general rule of thumb: If you don’t control the private keys, you don’t control the coins, and you do NOT have a real wallet.