Around here there are no 'Medicaid NHs'; you can be paying full freight and the person next to you could be on Medicaid. Same care.
In fact, (I'm running into this with my recently disabled brother) Medicaid recipients are given a wider set of benefits than a self-paying person is legally allowed to pay for. In my state, I've learned that my brother was a chump to have worked every day, saved his money and build assets; HE should've partied his money away and he'd be better off.
Too long a story to go into here.