- I've met people that have had terminal cancer in their very early 30s (didn't leave a giant bill to their state as this happened in the UK)
- I've had a friend that needed an ambulance for his pregnant wife from an airport (>10K USD in out of pocket expenses)
- I've been stabbed in an attempted robbery (again, no expense as this was in Argentina)
- Young people with chronic illnesses exist
Also, $10K is a low figure for medical expenses compared to how much one can spend. End of life care for the elderly can easily run into the hundreds of thousands of dollars per year. My grandfather has been in and out of the hospital a lot this year with a broken hip, complications thereof, and fairly advanced dementia, and his covered medical expenses have been astronomical. He gets full-time care every waking moment, 7 days a week -- so that's several full-time salaries on top of medical expenses. $10K doesn't even begin to scratch the surface of how much it can cost to treat someone.
As an aside, the 10K figure was just he ambulance ride. I'm supplying that as a lower bound for the cost on an accident, which people in other countries would not believe.
Health insurance is much more expensive at 55 than at 25.