Really? Nearly everyone I know is somewhat against the monarchy and think it should be abolished, but my parents are very pro-monarchy. The only thing my dad said was, "Did you hear the news? Very sad", and I said, "Yeah, very sad" and that was it.

Is it really hard to have a bit of empathy for people who are sad that someone they loved/admired/respected has died?

A nursery closing is odd, but again, their choice. Talking about bereavement sounds very healthy to me, whatever the excuse for it.