A near-failure isn't success, success is when you get there without the thought of missing the plane even crossing your mind.

Oh don't worry, the thought of missing the flight doesn't cross my mind, either.

I've missed one flight in my life attributable to my late arrival to the airport. I've had maybe 10 flights outright canceled for weather, maybe 20 or 30 significantly delayed for one reason or another not in my control. I've missed connections maybe 10 times because my flight didn't arrive early enough to catch the connecting flight (and twice I've made it while my checked bags didn't). So to me, I'm not emotionally tied to the times on the itinerary, and don't feel any kind of inherent need to stick to those times.

The other thing, too, though, is that I'll never schedule a flight that barely arrives in time for the actual reason I'll be flying. I tend to fly the night before for even late morning meetings, and I always fly the day before for weddings and things like that. For afternoon things I'll sometimes fly the morning of, but will want to bake in at least 4 or 5 hour buffer for air travel delays. So maybe that's the actual path where the concern flows for me, rather than worrying about me getting on the plane.