Earlier quoted context omitted.
The greater evil being what?
Not following due process.
That would have been a nice constitutional / Bill of Rights principle. Or a Supreme Court standard.
Instead many ways in which clearly innocent (or very likely innocent) people have been convicted or had appeals denied have been upheld, at the alter of not just due process, but at having no principle or procedure of adjusting due process in these cases.
In this case, how can there be information that was not submitted directly to the court given its relevance to the case? Who had that information and withheld it? That should itself be criminal. (Some information may be sensitive - but courts already deal with that in other circumstances.)
Due process adjustments for an "innocence protection principle" would still be reviewed by higher courts, so this could be a standard but rare practice with its own due process, without being a Wild West.
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No system for any large organization should provide no process for exceptions to accepted practice at the ground level to be escalated.
Corporations, governments, social media sites, banks, etc. all end up crushing powerless people when they provide no recourse for unanticipated or ignored harm by the organization's current rules.
Individual humans do not have a legal pass to say, "well I have these rules for myself, and they don't include effective review or action on information about my unjustly harming you." If an individual is notified of harm, their culpability starts then. Courts would consider systematically ignoring such communication to imply a significant increase in culpability - for an individual. Throwing away such communication would be interpreted as a conscious intention to continue harming.