I don't really care about the definition of "strictly better", I just enjoy thinking of rules or edge-cases that other people haven't yet mentioned. Don't we all?
Another strict improvement: Being a bane card--except online, where there's an information leak.
In theory, a card could be strictly better if it gave you more information, e.g. look through your discard pile, or have your opponent discard cards one at a time (so you can see them) instead of all at once.