preserving liberty means to simply “maintain the state of being free within society from oppressive restrictions imposed by authority” The miranda rights state that “you have the right to remain silent anything you say can and will be used against you in the court of law” that ensures you can be justified but it doesn't mean it preserves liberty because people may argue the first amendment freedom of speech, that you should be able to say something without it being used against you which violates our freedom in the meaning justice.
Over the years the Miranda rights are used to ensure justice and preserve liberty ever since the case Miranda v. Arizona. All though people may see the Miranda Rights/ warning as an act of not trying to ensure justice it is because if we didn't use them today then there would be many more cases like Miranda v. Arizona and lead to a corruptio in our police stations atound th