I’m on the fence. I’m a pet owner (2 dogs, 2 cats). I’ve never taken a day off work when one of them has died but it’s highly questionable whether I was any good at work on that particular day. I remember one day when I lost one of my much-loved cats and I was on a professional blue light driving course. I was taken off a drive because of it because my concentration was so bad.
I’ve had pets that have outlived my marriage and seen me through very difficult times. It’s difficult to explain to non-pet people that a long relationship with a pet can mean as much to some people as a relationship with a person. Many people see their pets and spend more 1-2-1 time with them than they do adult siblings! I would, and have, allowed an employee to take a day off at discretion because of the loss of their dog.
However, even I consider it exceptional and would not expect to give a day off from work apart from immediately on the day of the loss (or maybe the following day if it was the previous evening).
I’ve lost both parents, both sets of grandparents, and multiple aunts/uncles in my lifetime (I’m 50), including my adored mum when I was 18. I’m no fragile walkover and only ever used a couple of days compassionate leave to sort out logistics for funerals, etc.
It’s all about balance. Someone who needs a week off because their hamster died probably needs some professional help! I can have empathy for someone over their dog though. As long as people don’t take the piss, the world is a nicer place with empathy in it.