It's naturally strategic, since people usually play all of the pillars/pendulums they draw and are going to only have creatures/permanents in their hand. It's practically PC/CC, and is the only card that can counteract some spells. I don't think the randomness is non-strategic either, none of the cards in their hand should be useless if they are playing a decent deck, and so far in this game, discarding is the player's choice and not random (when hand is full at EoT).
The upgraded card lets you combo with Precognition/Golden Nymph so it has the potential to be not random at all, and the fact you are picking in the first place is not very entropic.