Sorry for using harder antonyms than desired. We have different points of view on this, therefore we have different foci in what qualifies as difference. I explained how I understood what you wrote and explained why I don't consider it comparabe. It doesn't make your interpretation inadmissible, just based on different values.
Different categories make different bases of argumentation. If you don't use the same basis of definition for your arguments, then you cross-argue on different foundations. That's where misunderstanding come along and bury you in the shaky construct you create. Level it by interlining function and slot, then it's a base which enables a type-ish shorthand. Then, imo, we have a foundation that is less subjectively comparable.
You don't have to agree with it, but unless the foundations of an argument can be agreed upon, discourse is going to be very limited and bound to create tiresome misunderstandings as well as frustration.