You can save up enough money to pay the bills for a few months, but you effectively can't save up enough money to cover your own health care costs without some sort of insurance.

On the other hand, companies also spend significant resources being health insurance brokers. Getting rid of that burden would be particularly helpful for small businesses and startups.

I would be far more willing to risk assets I had if I knew I'd still have basic necessities in life. You know, the luxuries the very wealthy have...

But abstaining from health insurance right up until the point where you need it is the same as having other people pay for your healthcare. A ban on pre-existing conditions without an individual mandate is a form of welfare. So in actual practice many people who are nominally opposed to universally subsidized HC are in fact not opposed to universal subsidization of healthcare... as long as there's some nominal involvement with the insurance industry prior to use.

The broader point: many people don't realize that just because you're paying into something doesn't necessarily mean it isn't welfare. In a democratic society with a lot of individualism and distrust of government, sometimes this "hack" is the best way to deliver a welfare state. See also: social security.