Even if it did matter which card you picked, it still wouldn't really matter since you have no idea what's behind each card anyway.
If you're asking if some of the prizes are fake, I don't think they are, since it's possible to pick all the cards if you level up to a level that unlocks a new survival breakthrough while your old card selection is still active.
If you're asking whether each prize has the same odds or if the "better" prizes are rarer, then I have no idea. But sometimes you don't get the coins.