Earlier quoted context omitted.
It does change odds. So when considering defensive driving the rule "flying is safer" may not hold.
There is no amount of defensive driving you can do that would make driving safer than flying commercial.
Some would argue the per-trip comparison is invalid, but often the travel distance is not fixed, such as if you were weighing between vacation options of flying to NYC vs camping at a local campsite.
On a danger-per-hour-in-vehicle basis, airplanes of course still come out ahead, although not quite as overwhelmingly. NYC to LA is about a 5.5 hour flight; an equivalent drive would be about 350 km, and it will be very hard to match the safety of that flight even with defensive driving. You'd need to drive 70x better than average, even with the fatigue of a 5.5 hour drive.