Yes, that's a true Christmas Cactus. Sherry/Keystone helped with a very informative article about the Schlumbergera here on ATP and she is quite knowledgeable with IDs as are several others here as well.
I don't know about anyone else, but I do enjoy tossing the IDs around. That's the way I learn about some of the plants.
Anyway, glad you got ID confirmation. Good for you.