Triple handshake attack was discovered lately, and to quote the article "The secure renegotiation indication extension only binds handshakes on the same connection, but does not apply if the session is resumed on a new connection.", that is to say, after an initial handshake in one connection, the old session is resumed in a new connection and then the resumed session would be renegotiated in the same connection.
However, if the resumed session is in the same connection as the original session, can this attack still exist? Intuitively, it still exists, since the renegotiation will only check the finished message of the just closed session which is the resumed session rather than the original session. Is it right?