In general, I agree with publishing it if is seems like there is an interested market.
As to how successful this will be, I think that, in addition to factors like completeness and the existence of an outline that have already been mentioned, it depends on what kind of writer the author is.
Specifically, if a writer is known for particularly distinctive writing style, finishing his works based on his notes may not be a good idea at all. "Lolita II, based on an outline by Nabokov" would probably be a big mistake.
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