Omega problems are not posed for the purpose of being prepared to deal with Omega should you, or an FAI, ever meet him. They are idealised test problems, thought experiments, for probing the strengths and weaknesses of formalised decision theories, especially regarding issues of self-reference and agents modelling themselves and each other. Some of these problems may turn out to be ill-posed, but you have to look at each such problem to decide whether it makes sense or not.
Omega problems are not posed for the purpose of being prepared to deal with Omega should you, or an FAI, ever meet him. They are idealised test problems, thought experiments, for probing the strengths and weaknesses of formalised decision theories, especially regarding issues of self-reference and agents modelling themselves and each other. Some of these problems may turn out to be ill-posed, but you have to look at each such problem to decide whether it makes sense or not.