Uh, well okay then, but perhaps you missed the overall point on the futility of pin-holing something on a common name?
Here is our database entry for unnamed cultivars of S. truncata
Christmas Cactus (Schlumbergera truncata)
As you can see, "Christmas Cactus" is an accepted common name for them--i.e. it is not technically wrong to call them that.
I just gave a thumb for Crab Cactus because it is not Christmas, Thanksgiving, or Holiday
Anyway, you have lovely plants Sondra and I think you should submit your photos here and give a thumb for Thanksgiving if you prefer