Not sure what it means

Once again, there is talk from scientists about whether a quantum wave function is itself  "real".

I'm not sure of the importance of the debate.   The brief discussion of it at the link above suggests it helps solve the Schrödinger’s cat thought experiment, and as we all like our pets to be either dead or alive (not in a fuzzy in between state) that could be a useful outcome.

Anyway, I need some better explanation of this...