On the other hand, habeas corpus itself isn't so directly tied to freedom of movement, since it's a procedure that applies after you get detained. Also, the out

On the other hand, habeas corpus itself isn't so directly tied to freedom of movement, since it's a procedure that applies after you get detained. Also, the outcome of the procedure could be that a judge upholds the legality of your detention! If police stop people on the street and tell them to turn around and go home, habeas corpus might not be a particularly relevant remedy.