Actually if Omega literally materialized out of thin air before me, I would be amazed and consider him a very powerful and perhaps supernatural entity, so would probably pay him just to stay on his good side. Depending on how literally we take the "Omega appears" part of this thought experiment, it may not be as absurd as it seems.

Even if Omega just steps out of a taxi or whatever, some people in some circumstances would pay him. The Jim Carrey movie "Yes Man" is supposedly based on a true story of someone who decided to say yes to everything, and had very good results. Omega would only appear to such people.