Just timed myself starting from where I turned off the road into the gas station: at ~3m 20s I was pulling over to get air in my tires with a full tank of gas. If I drove back to the road it would have landed right around four minutes. 13.7 gallons went in.
You never did cite btw, I see a [0] but no link. 15m might make sense in a context of a bathroom or snack break, or paying cash, or going out of your way, or filling a pickup truck. But filling up with gas is obviously way faster than recharging a battery.