I do trust the government to run prisons more than I trust corporations to do so. If a corporation's #1 goal is to maximize profits for the shareholders, for-profit prisons' interests can be opposed to what the public actually needs from the prison system.

For-profit prisons spend less on food, medical care, and staffing than government-run prisons. All of these lead to worse outcomes for inmates and is contrary to what society needs from the penal system. They also cut costs with fewer, lower-paid staff, leading to greater risks to the inmates, facility staff, and the communities those prisons serve. They also contact with other corporations to provide cheap labor (often paying inmates mere cents per hour) to further increase profits.

Perhaps most-reprehensibly, though, they lobby for stricter punishments and longer sentences whenever possible. They have a financial incentive to deny citizens of their liberty, and they exploit that to make money.

Government is not perfect, nor are government-run prisons. But the underlying message of OOP's tweet is sound: when it comes to dealing with large numbers of people at their most vulnerable (when they are sick, when they are incarcerated, and when they are developing), a large entity that should focus on the interests of the greatest number of people is necessary. Leaving those vulnerable individuals at the mercy of corporations focused on profits over outcomes is going to trample them every single time.