AFAIR it was a problem almost a century ago, not now. It's still a thing I can't get comfortable with, but there is no chance of going wrong of a car just running while it's being fueled up.
I personally will continue to religiously minimize spark and heat sources while fueling. I've seen damaged spark plugs complete their circuit by sparking through the air (and apparently keep running the engine just fine). Best to eliminate a class of problems entirely.
Outside of not fueling near an open flame, the more moderate strategy is to always plan your exits and know where that fire suppression button is relative to where you are.
My car doesn't have a "fire suppression button", nor does my gas station, the closest they have is an emergency fuel cutoff switch that stops the pumps, but it doesn't do any active fire suppression.
Familiarity with your surroundings is far more valuable than superstitious behavior.
My wife and I were in the back seat and not pleased by that action. I would think a modern car can handle that without exploding but why risk it? Just deal with the heat for, oh, another 30 seconds. We were filling up a Honda Accord, not some camper van with a giant tank.
Shady Cove? Chevron next to a fire station? If so, I stop by there whenever I go out that way. Really conveniently sited, honestly.