On a different note, I don't understand how one self-consistently discuss Newcomb's without going into the issues of free will, determinism and inside vs outside view.

The same way I could self-consistently discuss Newcomb's without going into the issues of Pirates vs Ninjas. Even if those issues are all particularly relevant to Newcomb's problem it isn't self-inconsistent to just not bother talking about all possible tangential issues. Heck, even if it were outright erroneous to not talk about your list of issues when discussing Newcomb's (this is decidedly counterfactual) then it still wouldn't be self-inconsistent to not do so. It'd merely be wrong.