Everything we do as biological beings is "hardwired". That is not a valid argument for objectivity in beauty. If beauty was objective that would mean that things could be beautiful separate of our views of it, which they cant.
Let me put that phare as an example:

1+1=2.
Our perceptions of this truth don't change the fact that it's an objective truth.
I talked about the illusion of objectivity earlier and I think you are focusing on that illusion.
There are very few things objectively true in general, not to mention such complex and sensitive things as beauty.

I think a fruitful conversation would be for example "For what extent does culture and personal preferences define beauty" But by almost definition beauty cannot be objective since it requires an individual to perceive that beauty in the first place.