Probably not- and let me explain my reasoning why:
Dominion's focus is to build your deck. Almost every card in the game revolves around deck building in some way (it helps buy cards for your deck, it trashes cards from your deck, it adds/discards cards from the opponent's deck, and so on)- the only real exception are Victory cards- they do the opposite of deck building- they hurt your deck. But in any case, the victory condition is simple: you buy cards (just like any other card) that gives you points.
The issue with many of the forementioned Dominionesque games is that they attempt to combined the deck-building aspect of Dominion with something else. Hence, they lack focus. In Thunderstone, you buy cards one way, then have to totally change gears and earn points in a completely different way all the while worrying about "light" (and what have you). This lack of focus contributes to unnecessary complexity, a steeper learning curve, and no guarantee that a set-up is actually viable (e.g., play and feel like you are playing the game).
I actually, haven't played Puzzle Strike or Ascension, but I suspect the issues are similar.
It is blessing in disguise that Dominion came first. By being first, it could be simple while maintaining its elegance whereas subsequent games would have to add something else to the game in order to be viewed as elegant or worthwhile.
That being said, the next great deck-building game is not going to be great because it adds aspects that are lacking in Dominion. Rather, it will fundamentally change the underlying method by which decks are built.