I hold the belief that Newcomb, regardless of Omega's accuracy, is impossible in the universe I currently live in. Also, this is not what this discussion is about, so please refrain from derailing it further.
It's highly relevant to your second point.
Newcomb-like problems are the ones where TDT outperforms CDT. If you consider these problems to be impossible, and won't change your mind, then you can't believe that TDT satisfies your requirements.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.