This, and unknown med history makes getting there to assess a priority. That doesn't mean balls to the wall flooring it, but have some urgency. If this patient was on blood thinners, very likely in that setting, had facial fractures that could compromise airway, and several other possible circumstances, why wouldn't you have some sense of urgency?
L&S doesn't mean flooring it and swerving in and out of traffic. Especially at rush hour, it just helps you not waste time sitting in traffic.