I am both a backpacker and a car camper. I have the dual fuel coleman two burner stove and lantern. While super unleaded works for both, I would caution using it because it is not as “clean” as the coleman fuel. I too being the cheapskate would use only super unleaded. However, this lead to my lantern clogging and needing parts replaced. While a stove may clog less freqently, I would go with the coleman fuel, especially when I have seen it as low as $3.00 a gallon. Gas devices are a royal pain in the a$$ to fix.
I second checking out the pump cup. If it needs oiling give it a day or to really soak into the cup. Better yet, pick up a spare. The cups can be bought separated from the metal pump for a couple of dollars at campmor.
Alligator