While it comes from a good place, this entire argument rests of a series of intuitive leaps.
Why is it that the desire for revenge is such an immutable part of our character as a species? Just as we have a vengeful old testament God so too we have figures that urge us to turn the other cheek. For every revenge film we also have movie about the importance of forgiveness.
Even if it were true that revenge is important for many people, this does not mean it is an ideal our criminal justice system ought to work towards. There are many human impulses that we work harm to repress after all - aggression and cruelty being just two.
The second assumption this argument falsely makes is that all victims want the same things. It may provide closure for some to know that the person who harmed them is being punished. Others may find it enough to know that their perpetrator can harm no one else, something that rehabilitation can tackle. It is presumptuous and reductive to present victims as a single-minded block.