It leaves a paternalistic relationship between the business and the average worker. They don't get to feel like they're interfacing with the labor market, they're at the will of their employer. They should be grateful that your employer provides healthcare otherwise they might actually die. Maybe they should open a GoFundMe if they can't afford it. They should respect the patronage of private donations and privately funded grants your city benefits from.
The reason why universal programs are attractive is because they give the average person a sense of agency. Because they're universal they aren't a "handout," they're part of what it means to interact with society. Everyone pays in and everyone gets paid out. But if they're not universal they quickly become handouts for the poor instead of features of society.