In the classic problem, Omega cannot influence my decision; it can only figure out what it is before I do. It is as though I am solving a math problem, and Omega solves it first; the only confusing bit is that the problem in question is self-referential.

If there is a gene that determines what my decision is, then I am not making the decision at all. Any true attempt to figure out what to do is going to depend on my understanding of logic, my familiarity with common mistakes in similar problems, my experience with all the arguments made about Newcomb's problem, and so on; if, despite all that, the box I choose has been determined since my birth, then none of these things (none of the things that make up me!) are a factor at all. Either my reasoning process is overridden in one specific case, or it is irreparably flawed to begin with.