When you lose someone you truly love you Never Ever get over it,You just learn to live with it as Best you can...I do not belief it will lift any real burden for them. Especially if he appeals. Or if they eventually find out wrong man convicted for it. It may all just serve to keep everything at the forefront of their already heavy hearts and may make it harder to deal with. Hard to know. I'm not them. No links as all just my opinions...
In this particular case it would be a huge burden lifted to not have to Wonder about the Who and Why...
Can you imagine wondering everytime you go outside your home if the killer is there or nearby???