A typical stop duration at a supercharger is 15 minutes.
Tesla's official marketing has a 10% to 80% charge at 40 minutes, and 10% to 100% at 75 minutes. https://www.teslamotors.com/supercharger
For a 90 kWh battery. I guess the Model 3 will have a smaller battery and less range, but practically speaking, filling up from empty is 5 minutes with Gasoline, and 75-minutes with the Supercharger (all the way to 100%)
You can get more efficient by filling up only to 80% charge over 40 minutes of charging... but that's still very far away from your claim of 15 minutes.
The author acts like this is a huge deal. As if every Tesla driver will be filling up their Tesla at a supercharger as often as every other driver fills up their car at a gas station. It seems like a very minor point to most. 400 miles is about the limit of what I'll drive on a road trip, anything more than that I'll take a plane. So if I had a Tesla and I took a vacation once a year within 400 miles, it would mean spending 0 minutes filling up my car for 51 weeks out of the year, and adding an extra hour on each end of the trip. I'd probably be annoyed at the delay if it didn't coincide with a meal but it would probably just remind me how awesome it was that I never have to stop the other 51 weeks..
But I'm still concerned about this long-trip thing, especially because long-trips mean that I'm away from the infrastructure that I've built up myself. (Is there a 240V charger at the hotel I'm staying at? or is it only 110V which only charges ~20 miles overnight in 8 hours?? Reports are 3mi / hour charge times on 110V. https://forums.teslamotors.com/forum/forums/charging-110v-ou...)