Ah, okay I see what you're saying!
If you consider a young, attractive person who identifies with their beauty, eventually when they age and likely lose that beauty they once perceived, they end up feeling like they have lost themselves--or at least some huge aspect of themselves--and suffer greatly because of it.
Alternatively, if they recognize their looks are just a transient thing that is not their identity, then losing that perceived beauty is much more benign and life is more peaceful. It's because there was always much more to them than their perceived beauty.
It's the same thing with emotions and cognition. Identifying with mind chatter--or thoughts in general, in their supremely transient nature--is to impose a limitation on ourselves and invite suffering.
Not to pretend that I'm this untouchable entity that is above all of this, but I've found this to be a very healthy practice that makes space for a peaceful, harmonious way of living.