Whenever someone wishes me a "Happy Holidays," I always make sure I tell them MERRY CHRISTMAS in a stern voice. I do not wish for them to inflict their political correctness agenda on me and my country and my culture. It's offensive to me. I don't even take Happy Holidays folks seriously, because it's done to try to intimidate Christians or even secular Christmas celebrants.
I have seen the term "holiday tree," "holiday cookies," GAG---I mean really?? It's political correctness run amok. OP has it right.
That's a c-nty thing to do. It would be like me taking offence at someone wishing me a Merry Christmas despite not being Christian.