Burbinator, you are fundamentally correct; however, some people subjectively measure their happiness / satisfaction by observing how many people are in worse conditions/situation than themselves.
A rich person is not rich because of its wealth. A rich person is only rich because most others have less wealth. If I had 1 million dollars right now, I’d be propelled among Top 250 richest people in the country where I live. In USA, I would only be among Top 1 million, in Saudi Arabia, I would consider myself “mid-class”.
On the opposite: A person that earns less than 50 dollars a day in USA would be considered poor. In my current country, that’s slightly above average income; in India or North Korea, you would be very wealthy.
So the same wealth has totally different meaning depending on where you live.
And here is where healthcare can backfire: Those who have some job and can aford some health insurance would suddenly feel on the same level as those without jobs / healthcare. Suddenly, the level of “happiness” would drop, even though it seems strange that people want others to suffer, but it’s true. You need the feeling that somebody is in worse shit than you, and public healthcare could actually make it so that those without jobs (insurance paid by country) have the same options as you (insurance taxed on your income).