On the one hand, sure. On the other hand, not so much. Most of us aren't exceptional and live today in the same way as our ancestors have for centuries. Our needs and desires and behaviors across our lifetimes aren't so different from other large mammals. The exceptional things about us are largely provided by our civilization, but even including those things, it's the same song, different day.

The harm in "recognizing our superior differences" is in the unfortunate proclivity of humans to take that as justification for not recognizing any rights of the "inferior".