I used to work at a company that did this. White collar, but we would often work stat days, and we were salary. So our PTO was x days vacation time, y days stat days, and z days sick days. Vacation time was the legally mandated or higher, stat days were the legally mandated, and then sick days were on top of that (no legally mandated paid sick days where I live). If you got sick a lot (and actually didn’t work anyway) you had less vacation time. If you didn’t get sick a lot, you had more vacation time. If you worked some stat days, you had even more vacation time. It worked for everybody and meant there was no reason to worry if people were actually sick when they took a sick day - it was just unplanned PTO.

If you get additional PTO to allow for sick days, I’m not sure why you’re complaining. That’s a perspective issue. If you don’t, I definitely get it.