Maybe in the past, but with modern technology that isn't always true. Statue of limitations comes from a time before even cameras existed.
Also, I see many other people in this thread confusing criminal law and civil law, which is a bit sad to see on a place like HN.
Retribution is impersonal, proportional, principled, and employs safeguards like time limitations.
You could say "the state channels the impulse toward revenge into a procedure that mostly isn't revenge" but Hobbes figured that out in 1651.
Also, I see many other people in this thread confusing criminal law and civil law, which is a bit sad to see on a place like HN.