Yes I do care. The reason i care is because it makes me happy for them as a friend that they're going through or went through an event that brought them joy or enriched their lives somehow.
If it's a coworker then I'm usually doing it to be nice, but also because if you're spending a considerable amount of time with your coworkers each day, you'll probably have a more enjoyable work culture if you get to know your coworkers.
That's not how it works bub.