[ImpactBreaker]

Is there such a thing as "wrong interpretation"?

In my opinion, depending on the content of the artistic material, there may be. It's mostly obvious for those kind that are more concrete and objective, such as you reading a book and it says a certain character was murdered and buried; there's no way someone could interpret it like "oh but that character is alive (in the real meaning of it)". That would be a wrong interpretation.
However, in the case of ayu, her lyrics and sometimes PVs, carry rather vague ideas. ayu never seems to tie a definite conclusion to most of her lyrics and videos, so there's plenty room for interpretation. Since she makes everything quite vaguely/incomplete, a place for a "wrong interpretation' or a "stretch" gets lost, because nothing is tied to a definite conclusion. I hope I made sense here.