Meh, the original is badly worded.

No it isn't. Your 'Take 2' is an entirely different question. One that seems to miss the point. The question "Can Omega exploit a vulnerability of human psychology?" isn't a particularly interesting one and becomes even less so when by the definition of Omega and the problem specification the answer is either "Yes" or "I deny the counterfactual" regardless of anything to do with vulnerabilities in human intellectual capabilities.