No, their freedom isn't paying for their room and board; they're loss of freedom is payment for their crime. Room, board, medical facilities, workout rooms, etc., those all cost extra.
I think while proposals like this may sound good, they along with imprisoning people for non payment of child support bring this country dangerously close to having "debtors prisons" a quaint english custom that the founding fathers were deadset against.
What happens if the prisoner can't or simple refuses too pay for their imprisonment? Do they keep them locked up while the fees continue to mount?
How about jailed citizens awaiting trial? If they are acquitted, will their monies be returned? Will inmates be allowed to work off their bills or must their families pay? In Red China, when a prisoner is executed their family must pay for the bullet; and their organs are sold for transplants. When has our incarceration economy gone far enough? In Colorado, the Department of Corrections is the largest employer in the state. On the other side of that statistic is the fact that inmates are not counted among the unemployed. There but for the Grace of God... Think about it.
I would never make it as a member of the ACLU. I believe that criminals should lose their freedom, AND have to pay room and board.
I think it's South Korea, inmates families are expected to feed the incarcerated. If no support is forthcoming, I would imagine prison life is much more complicated.