Yes, back in those days, one would buy their oil at the "filling" station.
I think there reference to specific amounts of ingredients was referring to the fact that to make a better product you had to measure out the ingredients instead of using the pinch of this, or a pinch of that like shown in the picture.
Although when referring to cake, I would disagree with them. My Mom made the best chocolate cake I've ever eaten, and it was always a pinch of this, or a pinch of that. I have never found anyone who could duplicate her homemade chocolate icing. Emmmmmmmmm good.