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.
If that's all it takes to offend you, the rest of life is going to be really, really hard for you.