> As I said before it is convention when talking about a _key size_ to mean the > number of bits in the order (i.e. the size of the private key).
If we talking about just 'key size', then yes, we assume private key size. But I've never heard of convention to assume that for ECC public key size is equal to private key size. If this convention defined, or at least mentioned somewhere, it would be wonderful to have a reference to this document.