They will be much more likely to incur medical bills they can't pay.
Wow, you almost got the point there then got completely lost. Low income people can't pay medical bills because they don't have the money to do so. How will taxing them help that situation? You seem like a student of the "fuck you, I've got mine" school of thought.
Take the Waltons of Walmart fame as an extreme example. They are some of the richest people in America but their Walmart employees include people that are being paid so poorly they also need to collect social services such as food stamps and Medicaid. Walmart pays low wages knowing the employees can't survive and will be assisted by the taxpayers. Paying lower wages means more profits and more money in the Waltons pockets at the expense of the employees. Do you think the Waltons are spending all their extra earnings on things that incur more taxes or are they just putting it away like a dragon on their pile of treasure?
Walmart also uses taxpayer funded services like public roads to move goods, the FAA and ATC for their corporate and private jets, tax breaks when they build new warehouses or stores, etc. So, are the underpaid Walmart employees the ones leaching off society or is it the high earners like the Waltons causing the issues?