I don't believe it's tactless, just that it doesn't serve their understanding of the world to say that it isn't. Comforting the bereaved is hard and new for most and they feel a lot of hurt about how they were treated, so my pushback was light to keep them engaged. Acknowledging and contextualizing it and then moving through it serves them far better than "no and."
And I was just making fun of llm gaffs.