It isn't about privacy dumbass. It is about freedom of movement and travel - something the 5th amendment enshrines perfectly well in English for those of us in the USA.
"No person shall be held to answer for a capital, or otherwise infamous crime, unless on a presentment or indictment of a Grand Jury, except in cases arising in the land or naval forces, or in the Militia, when in actual service in time of War or public danger; nor shall any person be subject for the same offence to be twice put in jeopardy of life or limb; nor shall be compelled in any criminal case to be a witness against himself, nor be deprived of life, liberty, or property, without due process of law; nor shall private property be taken for public use, without just compensation."
https://famguardian.org/Subjects/Freedom/Rights/Travel/Right...
This entire "mandate", "law" whatever you want to call is 100% completely unconstitutional. Yes, it might take a year to travel through the courts but it is clearly unconstitutional.