Right. One can easily implement EdDSA without deterministic nonce generation or with insecure nonce generation (it would be an error to call it EdDSA: but no v

Right. One can easily implement EdDSA without deterministic nonce generation or with insecure nonce generation (it would be an error to call it EdDSA: but no verifier could tell; and if the signature is accepted that is EdDSA-enough for people to call it that in practice); likewise one could implement ECDSA with deterministic nonce generation (e.g. as specified in RFC6979). It's not hard to find examples of both.