That is not exactly true, though......

A person with refugee status is required to file for permanent residency (green card) within a year of coming to the US.  It is not automatic as your post seems to suggest.  

You also seem to have confused permanent residency with something different than having a green card, since you say "permanent residents with Green Cards".  A green card holder IS a permanent resident - 

On top of that, the TEMPORARY ban does NOT block all refugees from coming here.

This is how bad rumors get started......