I still wish people a Happy New Year, although it is hard, as New Year's Day is the anniversary of my only sister's death.
Thinking back, the year she died (2016) I most certainly did not wish anyone a happy New Year, even although I did sincerely hope theirs was more pleasant than mine that year!
A cousin mentioned in her Christmas letter that a near relation of hers (and mine) has just been diagnosed with Alzheimer's.
I have just posted her a letter, in which I offered the little help I can give, living as we do over 1.000 km apart and ended my letter by saying that things being the way they are, I felt it would be crass to wish her a happy new year, but sincerely hope that this year will, all the same, bring them some joyful times.
Leave your poor neighbour to grieve in her own way and at her own pace.