I'm relatively certain that I (in the U.S.) have never purchased any oil labeled as "vegetable" oil that gave any indication it may contain palm oil.

Is there oil labeled as "vegetable oil" that contains palm oil? Or is there another reason you think it should be avoided?

He's not really talking about bottles of vegetable oil used in cooking. He's talking about products that use sneaky labeling to either hide the palm oil or make formulation flexible- e.g. if the nutrition label lists "vegetable oil", they can make the product using whatever vegetable oil is convenient that day.

>vegetable oil

but what if it's just regular sunflower oil or something of the sort?

vegetable oil is generally specified by which type, since some oils (soy, for me) are allergens and could really mess someone up if they randomly eat the wrong kind. it would say something like "vegetable oil (one or more of the following: canola, soy, sunflower oil)"

Always assume it’s the lowest common denominator. Sunflower oil is more expensive so it won’t be that, if it was they would say.