Schrödinger and his cat have a lot to answer for; or, at least, subsequent interpretations of this scenario do.

Obviously, your reasoning cannot be applied to a cat. Applying it to a quon is a very different matter. You appear to have greater facility than I in maths, so I shall leave the equations to you. I wish you luck applying maths to a particle that might be in a superposition of quantum states, without making an observation that would destroy that superposition.

There never was nothing.