I have extended family in Florida. The system absolutely can and does and will push the issue. There’s a reason that it’s a crime not to pay for your incarceration even if you have a finding of factual innocence against you.
Source: my tiny keyhole view into the system. The parties involve always have have discretion to downgrade stuff to something else, or not pursue it at all and are incentivizes.
You say this like Florida doesn't have both the most private prisons in the country, and the most inmates held in such facilities.
"The system" doesn't care. Florida has, repeatedly, shown a willingness to cut back on education and healthcare.
And private prisons have repeatedly been shown to be a hotbed of corruption.
Sure they could round those people up pretty easily just by following up on any contact with the system that they have, but why, for what, to cost the state more money that will likely never be repaid? Especially when sticking a body on DUI detail is hugely in the black. They'll just let that debt, it's accruing interests and the threat of further incarceration linger on the books indefinitely. If the person ever gets their life together they'll have to pay it or face incarceration.
I'm sure someone somewhere has written a DB query to select from outstanding balance where <exists in some other DB that is a proxy for people who have money to pay> and prioritize those cases.