Could we somehow refer to this? Perhaps:
Note: We define a new "TLS connection" to start when the client
sends an unencrypted (TLS_NULL_WITH_NULL_NULL cipher suite) Client
Hello message (which can lead to either a full handshake, or
resuming a session). Renegotiation (sending a Client Hello protected
under some other cipher suite) does not start a new "TLS connection".
Note that this is separate from any notion of "connection", if any,
in the underlying transport protocol (such as TCP or UDP).
(Is this consistent with what the existing implementations do?)
Best regards,
Pasi