session.use_strict_mode does very little to strengthen your security: only one very specific variant of attack is migitated by this (where the attacker hands an "empty" sid to the victim to adapt his own browser to that session later) - versus for example the case where he pre-opens a session, handing the sid of that one to the victim, so the victim gets adapted to the pre-opened session. In the latter case this flag does nothing to help. In every other scenario with other vulnerabilities where the session id gets leaked, the flag helps nigher.
But this flag renders the php function session_id() useless in its parameterized variant, thus preventing any php functionality that builds upon this function.