I'm not sure if this idea of selfness as in narrow self interest even makes sense.

Well, one can certainly talk about agents who have what we might describe as "narrow self-interest," though I don't really care about the distinction between self-interest and paperclipping and so on, which do seem to be well-defined.

E.g., whenever I experience something I add it to a list of experiences. I get a distribution over infinite lists of experiences by applying Solomonoff induction. At each moment I define my values in terms of that, and then try and maximize them (this is reflectively inconsistent--I'll quickly modify to have copy-altruistic values, but still to something that looks pretty self-interested).

Are you claiming that this sort of definition is incoherent, or just that such agents appear to act in service of universal values once they are wise enough?