Christians might see if as part of their religious identity, as an atheist it's not part of any religious identity to me, but I find it peculiar that people find that it could be offensive since it does not mean to me Christ Mass [and other non religious or people of other religions presumably would not see it as Christ Mass], but rather a seasonal greeting with historical religious roots --like many things in our lives.
Do we rebrand Halloween because of its pagan _religious_ historical context? Do we say, no no no more quinceaneras, that just promotes more patriarchal hegemony in a community which is characterized by patriarchy?