I'd like to see that report.
It's obvious they took the extremes in temperature across the nation, Phoenix vs. Minnesota, but i'd bet they were taking the hottest day of the year in Ariz (prolly around 120 degrees) and the coldest day in Minnesota ( well below zero).
If that is the case, then a 125 or so degree swing means 25 cents which still sounds excessive and slanted.
Just pretending it has merit, lets look at the temperature of the gas in the morning vs afternoon where we live. Prolly a difference of 5 degrees or so max (tank is underground). That would mean you would save one penny per gallon. Cool, whatcha gonna buy with all that extra cash?