What unites all of these strategies is that they are trying to get rid of emotions, storing them away. #NVC and trauma research shows that it's much better and more helpful to embrace and welcome them, be it one's own emotions, or the emotions of others. Create a shared space where they can just be.
"Feeling them too" is not compassion or empathy either, and it does not actually help anyone. It is a (mis)trained strategy, and again, it can be changed.