I think it’s an objective, empirical fact that humans have desires, emotions, values, and can think about non-existent entities (like dragons, or Santa Claus).
But there is no objective existence of those things, for if you take away humans, then so do those things disappear from existence.
For example where is objective goodness or beauty? Can you point to it anywhere in empirical reality?
But then how can you say at the same time that goodness and beauty exist objectively within and between human minds, and they are not mind independent and objective, merely intersubjective. As in, the concept for goodness is not objective but people clearly can experience goodness and describe it as such.
Furthermore I think there is intersubjective core to language. For example goodness has a similar or identical core for each individual, otherwise they wouldn’t be using the correct word. Then there are individual senses which make that word uniquely theirs, like specific good deeds or situations that they consider are good.
Then we can make objective statements such as there is a black 1969 ford mustang over there. But what about it is fast/has a high velocity. Surely velocity is thought to empirically exist even if velocity itself isn’t mind independent. On and on.
Sorry if this isn’t clear/correct. I’m having a hard time with this.
Ref: IEP entry on objectivity
Edit: don’t know if this helps and it’s probably wrong in some way but anyway.
The concept for something can be said to exist intersubjectively. But the referent of that concept can’t be said to exist unless it’s been empirically verified. Like love. Which has an intersubjective definition which people agree upon. That concept (devotion and care for another) exists intersubjectively, where as love as an abstraction has no independent existence. Therefore love is neither objective nor subjective only intersubjective. We can observe instances of love play out. In that sense it exists again only intersubjectively.