And the whole point of Shrödinger's thought experiment was to ask how you get from the Shrödinger equation for an atom to a live or dead cat.
It didn't make any statement about the quantumness of the cat but rather asked how the quantumness of the atom gets transformed to certainty about the cat.

The Copenhagen interpretation is basically a trick stating that at some point the equations become too complex for us to handle them so we handwave them away by saying they "collapse" without actually giving a mathematical description of what that collapse really is and how the collapsed state is derived from the wave function.

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‘To those who regard “crime fiction” as some sacred icon which must follow a rigid formula, I will always be the man who writes 18-syllable haiku.’Trying to make sense of computers, The Error Log.