Chemical engineer here, I worked at a major refinery for 36 yrs. It is true that the local terminals sell gasoline/diesel to many different wholesalers and retailers. All fuels are required to meet state specifications. The fuel may come from a local refinery or from a common carrier pipeline that transports fuels all over the country.
Most of the Majors blend gasoline to exceed state specifications for their stations but sell the generic blends to everyone else. Some of the additive packages are added to the fuel at the terminal so the name brand stiff does have different additives than the generic. Typically the brand name products have higher dosages and/or better additives. These include detergents, corrosion inhibitors, stabilizers etc. The big players have substantially better quality control and consistent properties in their products. Top Tier fuels have a higher level of detergents than the state requires.
In some areas, there are "blenders" that purchase off-spec fuel, tank bottoms, and pipeline-interface which has some small amount of diesel mixed with the gasoline. They mix these together to meet state specifications and sell the product locally to off-brand retailers. Some of the bad things that can be in gasoline are high endpoint, corrosivity, gums, high or low vapor pressure, and deposit forming contaminates. States do not have many resources or budgets to sample and test very frequently so, to a great extent, keeping fuel on-spec is pretty much on the honor system. Major players have reputations to uphold and deeper pockets to protect than Joe's Excellent Gasoline Blinding Co.
My recommendation: Buy your gasoline from a major brand name station such as Shell, BP, Exxon, Mobil, ARCO, etc. These will be Top Tier fuels and less likely to cause problems with a new sophisticated engine.