I feel like splitting between just Support (draw/actions/sifters), deck building (trashers/gainers), payload (coins/+VP/attacks) would be a better split. Some cards would be straddling categories, but that's what orange is for. Not saying these three are the only way to split it (e.g. is Duchy payload? I would argue it isn't, it's a stop card. It doesn't do anything for you once it's in your deck), but your distinctions were too narrow / numerous.
Even then, it can still be redundant depending on the other categories in the round. If you put cards in, and you find out it gives +3 cards, you don't learn anything from also figuring out it's a Support card.