It's a US problem that they give you a little time off and then you are frequently hassled when you DO use the time given. My DH has time he must use or lose and darned skippy he takes some mental health days. He also takes our child to the doctor, stays home with her sometimes when she is sick, takes care of his parents. To be honest, sometimes he just says, "I have an appointment" but doesn't say for who. They're going to take his days at the end of the year if he doesn't use them so why they yell and scream, I do not understand. He's frequently on calls at 7AM and on call, technically 24/7. They get their pound of flesh.
I had a boss who would give me the hairy eyeball anytime I requested time off for my daughter's needs so I stopped telling her it was for DD. I earned the time. I wanted to use my time. Yes or no? I'm much more a fan of PTO where it doesn't matter what pot it came from. You have two weeks or three weeks' worth to take days off and while you can't usually take them as a block, you aren't required to deal with "sick" vs "I need to babysit the plumber" days. I prefer PTO and then I used them wisely. When I had DD, I had enough PTO to get to her doctor's appointments without being in the hole or near it.
The flip side is if you need to take a day, TAKE A DAY. The head of HR at my old company would come in sounding like death and we'd all know that WE would be next and most of us couldn't afford the time off for his germs.