I never minded the HH greeting too much as I felt like it covered TG, XS, and NY, until suddenly you weren’t ALLOWED to say Merry Christmas.
I always laugh...because Holiday means “Holy Day.” The Happy Holidays greeting goes way back...many late 1800’s-early 1900’s postcards use the greeting...more so than “Merry Christmas”.
Agree with you, though...annoyed that saying Merry Christmas is now somehow offensive.