Of course they are. They saw what happened when all the kids who grew up watching sesame street and Mr Rogers learned how to think of other people as people and not things. They started supporting their right to exist! As valid individuals! With RIGHTS!?!
Conservatives can only prosper if empathy is suppressed, or at least heavily restricted. You see it every time yet another conservative changes their position on some social issue as soon as they experience whatever it is firsthand.
If they had empathy, they would’ve already supported the progressive position.