Criminals' Plausibly Legal Times

Many of the more successful time traveling criminals are, at this time, essentially hunkered down in times and places where they have generated enough conflicting / supporting data to merit their protection, even after strong doubts are raised about their authenticity.

Apparently, Rudolph Grinch, and many of the other younger (!) criminals, do not have times in which they are viewed as authentic members of reasonable societies, whereby they might claim some sort of legal protections that would insulate them from immediate arrest and / or deportation upon being discovered as being criminals.