The cat was only a metaphor for the quantum event. What Shrodinger opposed was the idea of a quantum event being in all allowable states at once (superposition) with its final state only set when "observed" (the Copenhagen interpretation). Schrodinger held that, although an event has a probability of being in any given allowed state, it was only in one discrete state - the decay either had not or had occurred and that observation was irrelevant to the quantum state, only necessary to our knowing that state.
Ok.
ETA:
If, as you seem to be saying, you believe that quantum events are in superposition until "observed" then you are agreeing that the cat is both dead and alive until the box is opened - the cat only being a metaphor for the quantum event and "opening the box" a metaphor for any "observation".
Not quite.
First, I'm not a scientist, I don't understand how the math of QM was agreed on, and unfortunately I don't have the means to carry out my own experiments. So, I'm a layman commenting on the theory, I'm not pretending to know what is really going on. Still, as I understand it, scientists don't really know yet whether the cat would settle for one possibility, either dead or alive, even before the observer would have a look. But I still don't pretend I know the answer to that.
Second, I'm on record for criticising people, including scientists, who are happy to say that the same atom (or photon, or electron, or cat) is in two incompatible states. Still, I think basically they just don't pay attention to the way they talk. No big deal except that they confuse the man on the street.
Yet, even if we recognise that it is not the case that one atom is ever in two incompatible states, we could still have two real states at the "same time", each somehow issued from the same object (through entanglement I guess). My point is that if this is so then we no longer have one object but two, scientists careless with words notwithstanding. I also understand that this view of two objects in two different states but coming from one object is that of scientists working on the idea of parallel universes (or histories). I don't know who is right but I like the idea.
The thought experiment is that the cat's state mirrors the state of the radioactive particle. The cat alive mirroring the decay not yet having occurred. The cat dead mirroring the particle having decayed. What is the state of the cat (which mirrors the quantum event) while the quantum event is in superposition (both having decayed and not yet decayed) as you seem to say is reality?
As I said plenty of times, the idea is that there is no one cat. There is one cat dead and there is one cat alive, and there is a sort of superposition of the two whereby an observer outside the closed box doesn't know whether the cat would be dead or would be alive if he ever opened the box right there.
I don't pretend I understand the whole of it and I'd be certainly interested if you had an argument showing that the cat is definitely dead or alive even before the observer has a look-in, for example if there is a camera inside the closed box. To me, it's clear that if there can be a superposition of two cats, there can also be a superposition of two cameras, as I already said.
Still, I don't know that the observer would know that there is in the box just one camera or a superposition of two, one cat or a superposition of two, because the box is closed, which is the point of the experiment.
EB