Descendants
Descendants of time traveling criminals can always argue for the innocence of the criminals, as well as protest their own innocence, thereby creating confusion, and propagating criminal strategies, since they have been conditioned and positioned to do so. Highly known descendants, especially those borne by noble victims of fasho rape (rape by impersonation), can order their military and / or social resources to attack those that would shed any light on the situation.
Descendants of time traveling criminals can always be pointed to as proof of the ascendancy of those criminals; if they still have offspring, they must not be as utterly and completely defeated as they are, so they probably exert their almost unlimited control in a less visible fashion.
Descendants of time traveling criminals could be the embodiment of the distribution of malicious code.