A lot of people don't have anyone to spend Christmas with, and it's pretty heartbreaking to be honest. I get the same texts, calls etc. A polite "Not Today, back to normal on Monday" (or whatever) seems perfectly reasonable.
One of the issues I have with texting in general is an assumption (and I've done it too) that if no reply is forthcoming, then the text wasn't received. which to be fair happens all too regularly if you live in a poor reception area.