Until someone says something, this thread is going to grow with a lot more people posting one-sentence replies saying that they, like the rest of the forum, support this.
So I'm going to say no. This modification should not be added into the game.
All of the other alchemy cards require a little skill to use. Either they need to be used at the right time (UG's ability, BH, Luciferin) or on the right target (Quint, LS, Afla, BB, Antimatter, Ragepot, Adrenaline, Nymph's Tears).
Knowledge of the card base is what prevents someone that is completely new to the game from being able to use Precognition to its full potential. The suggested modification to Precognition just makes it another skill-less card.