It seems to me that your proposal is equivalent to the "malicious genie has granted you a wish" .

I completely agree. For the question at hand, committing to not steal the Marauders Map will not magically cause the Marauders Map to not be stolen. There are too many other ways to make a stable time loops -- too many "wishes gone wrong" -- for that sort of Newcomb-like pre-committing to work the way you want it to.