Earlier quoted context omitted.
You don’t actually need to store Secure Enclave protected data in the enclave. Can “wrap” it with the enclave’s key and store it on your own disk.
This is not what it does though. It says the private key can't be exported, and this wouldn't be the case if it was just a regular SSH keyfile encrypted using the Enclave's key.
For storing arbitrary sized things, you’d typically use that key pair to sign an AES key used to encrypt the actual file so your device only needs to store the comparatively small keys.