Its one thing to have paid sick leave... but paid leave in general would create a disincentive to not work.
If the employer is going to pay you anyway for not showing up, why bother to punch in the clock?
In a jobless world, how people would get income would be structured differently but paid leave in a world where things need to get done simply cripple productivity.
Productivity has been hugely impacted with the increase of women in the workforce over the last few decades. Oh, how I wish they would stay home, take care of their own families... the dinosaur can dream, right...
All other kinds of paid leave don't have the same broad benefit for everyone involved.