I do remember reading articles saying that prosecutors frequently say to detainees who have already spent 3-6 months in jail "look, you can plead guilty to this minor crime, and with the time served you can go home to your family tomorrow. Or you can wait for trial, which can happen maybe in next 12 months, if the judge isn't sick on that day and doesn't reschedule for another 3 months later. So what will it be? Do you want to go home tomorrow, or stay locked up for a year before even going to trial?"
Like, I don't think I'd care how innocent I was - I'd want to get out asap. If your options are presented as "get out now" or "stay locked up for an indefinite amount of time, with no hope for compensation for the time lost even if you win" then it's an easy choice.