Schrödinger

You phrase the postulate somewhat imprecisely; in fact, in Schrodinger’s formulation, a cat is trapped in a box with a radioactive atom subject to decay. If that atom decays, the poison will be released and the cat will die, but if the atom has not decayed, or does not decay, the cat will continue to live. On an elementary level, there is no stipulation as to how long the cat will remain in the box thus there is no guarantee the atom will decay while the cat resides therein.
However, the real implication according to the Copenhagen Interpretation of Quantum Mechanics (side note: I prefer the Everett’s Many Worlds interpretation, and wrote a play about it.) is that the atom in the box is in a simultaneous state of decay and non-decay; thus to someone observing outside the box, the only rational conclusion is that the cat is accordingly also in a simultaneous state of death and non-death (alive), which can only be confirmed (one way or the other) upon opening the box.
Thus, opening the box does not cause the cat’s death (or aliveness) unless you are somehow able to make the unlikely case that opening the box either contributes to the decay of the atom present, or contributes to its non-decay. I think not. Opening the box merely confirms in retrospect whether the atom had decayed. There is no fallacy here.