Just give everyone 2 days a month for personal health reasons. This would be in addition to sick leave already earned. IMO Americans are forced to work to hard anyway. When I was looking 6 years ago I was offered a job that came with 10 total days off a year - sick or vacation. I told them NO of course and found a job with much better benefits. But I was lucky, some people may not have the options I had. It's bullshit.
I work for a pretty major corporation. We get 13 holidays and anywhere from 80 - 200 hours of vacation time per year (depending on years of service). We do not have "sick time" or "personal time".
We have "sick instances", which are defined as any time taken for medical/illness reasons. These range from single day to extended short/long term disability situations which are continuous. A sick instance extending more than 3 consdcutive working days requires a medical note and a phone call to our absence management system. Multiple sick instances in a 6 month period or more than two in a calendar year may be cause for discipline or in extreme cases, termination. You're essentially told.... "If you're out one day, stay out three because if you come back too soon and have to go out again you can be disciplined." Stupidest system I've ever seen, but it's what we've got.
My biggest concern with an issue like this is... where does it end? I've got severe spring allergies. If I don't show up to work every day I've got a pounding sinus headache or severe allergy symptome I might go 2 weeks without being at work some times in the spring. That will mean I no longer have a job.
2 days a month is 24 days a year. That's more than I currently get for vacation and holidays combined and I've been with this company for 8 years. That sort of thing is not happening with this company. I can guarantee it.
24 is a lot. I probably over exaggerated a little to make a point that people in general don't get enough time off.