I wholeheartedly disagree, and I don't like you denigrating the skill to remember what's in people's decks, which I think is a pretty important part of the game, not some kind of 'random luck' thing.
It can be a factor, sure, but if it becomes too dominant, then I'd argue that it detracts from the fun of the game. Dominion isn't, and shouldn't become just a variant of blackjack.
Also, personally, I'd consider things like the WoW +5 agility thing as actually a bad gameplay design, albeit one necessitated by wanting to make games massively scalable. But that's a separate topic.
IMHO, the chunkiness and simplicity of dominion is to its advantage as a game generally, not just as a board game. The game would be awful if (as an extreme case) each card, for example, RPG style gave you a +0.12 wealth stat which you add and multiply by a level modifier then roll to generate your money this turn and discount percentage. With that sort of obtuseness, you'd be reduced to either gut feeling 'oh this card feels a bit better', or looking up the optimal formula on the internet.
That said, I can think of one mechanic which might be neat:
'Blessings'. Which would be modifers you tag on to individual cards. For example, you might tag on a spectral laboratory blessing to a copper, so that you can play that copper as an action for +2 cards +1 actions. Or a blessing to draw an extra card whenever it's drawn.