Well the projects small marginal value isn't really related to the late delivery of the software people. I always say that delivering software successfully has a lot to do with courage. That includes courage to say (communicate) that a spec is too sketchy or outright unrealistic to deliver on time . That someone is dysfunctional within the project. That the timeline is too aggressive and needs to be split up into phases according to worse case scenarios.

If you can't do that, then you are the one to blame for tge project. If you did, though, then youre free to crash and burn happily ever after.