In the past, "hardship" money was generally reserved to help out those who are uninsured. You're going to see a lot less of it available now that carrying insurance is mandatory in this country. Providers will also be less inclined to cut patients a break on their bills when their own reimbursements from insurance companies remain stagnant or become reduced.
My hospital explained to me this year that they will not even talk to anyone without insurance. They still are required to treat, stabalize, and release in the ER but when it comes to necessary surgery, labs, scans etc. your screwed if you don't have cash up front or insurance. With insurance if you want to set up a payment plan they want all your financial information from taxes, bills, and bank statements to prove you need to be put on a payment plan. I am wondering if it is even legal but that is how they are handling things there now.
I am pretty sure in the past they did give hardship money to both uninsured and under insured though. If you had a high deductible but low pay.