Every NTSB report has a "probable cause" section determining who or what was at fault. And then the FAA hands out fines and courts award additional damages largely based on that finding.
It is true that the punishments aren't handled by the NTSB but that's more about separation of concerns & departmental remits than anything else. Is separating out "fault finding" from "punishments" a good idea? Maybe? I honestly don't know.
In case everyone is not aware, NTSB reports cannot be used in court to establish fault or otherwise be used as evidence when seeking compensation for damages.
"No part of a report of the Board, related to an accident or an investigation of an accident, may be admitted into evidence or used in a civil action for damages resulting from a matter mentioned in the report." 49 USC 1154(b)
In criminal cases what happens with inadmissible evidence? Like fruit of poisonous tree doctrine... what if you literally have video proof and tons of other graphic proof of a murder, you really just ignore it and let the perp go back into society?
It would be nice if society adopted this with all crimes. It's not like we can prove we're any different than the low level design of a machine; when it comes to the "free will" ideology currently the justice system is designed around.
And I just realized you're being downvoted. How surprising.
To a large extent we already do that, e.g. many countries have upper limit in punishment (like 30 years jail max), or allow criminals to delete their criminal past after some time has passed, not because that "just" or "fair" or whatever, but simply because it's "effective".
The distinctions our legal system makes regarding coercion, mens rea, insanity, etc are mostly trying to get at this same underlying distinction.
"Whoa, there sure are a lot of fights at bars we have to keep responding to! Maybe those would happen less if we had fines for bartenders that had too many fights? Or maybe if they had to get a license that we could revoke if they weren't preventing fights?"
"Whoa, it seems that a lot of people don't own guns, but then go and buy one when they get pissed and shoot somebody. Maybe that would happen less if we had waiting periods?"