Redefinition of terms is the classic liberal method for confusing an issue, and eventual redefinition of doctrine.
It eventually ends in God being created in man's image.
i believe that it was the Protestant counter cult apologist, the Late Dr. Walter Martin who once said "Similar does not mean 'same'".
Just because these groups have borrowed traditional Catholic terms don't assume that they have retained Catholic meaning, or any meaning within Christendom.
We Protestants have been fighting the cultists on this ground for decades. While i'm certainly not one for ecumenism, (and i believe that the Present Pope shares such disdain for ecumenism, thankfully), this is probably an area where Catholics can learn how to fight this fight by studying what the Protestants have done...including and especially where we've made mistakes.