How about no theory of justice? :) Philosophers should learn from scientists here: if you have no good explanation, none at all is more honest than a bad but seductive one. As a working hypothesis we could consider our hunger for justice and fairness an evolved instinct, a need, emotion, a strong preference, something similar to the desire for social life or romantic love, it is simply one of the many needs a social engineer would aim to satisfy. The goal is, then, to make things "feel just" enough to check that checkmark.
"to each his own" reading Rawls and Rawlsians I tend to sense a certain, how to put it, overly collective feeling. That there is one heavily interconnected world and it is the property of all humankind and there is a collective, democratic decision-making on how to make it suitable for all. So in this kind of world there is nothing exempt for politics, nothing is like "it is mine and mine alone and not to be touched by others". The question is, is it a hard reality derived by the necessities of the dynamics of a high-tech era? Or just a preference? My preferences are way more individualistic than that. The attitude that everything is collective and to be shaped and formed in a democratic way is IMHO way too often a power play by "sophists" who have a glib tongue, good at rhethorics, and can easily shape democratic opinion. I am atheist but "culturally catholic" enough to find the parable of the snake offering the fruit useful: that it is not only through violence, but also through glib, seductive persuasion, through 100% consent, a lot of damage can be done.
This is something not really understood properly in the modern world, we understand how violence, oppression or outright fraud can be bad, but not really realize how much harm a silver tongue can cause without even outright lying, because we already live in socities where silver-tongue intellectuals are already the ruling class, so they underplay their own power by lionizing consent and freedom of speech as institutions that can reasonably considered to lead to good results.
I mean, for example, a truly realistic society would censor arguments that feel good. This sounds super weird: we are used to either complete freedom of speech or to censorship based on imputed harm or untruth, but censor even true and useful ideas if they feel too good? Yes, as long as we understand censorship as a cost not an impenetrable barrier: putting a cost on ideas that feel good would neutralize that feeling and thus enable us to judge the idea on a rational basis, without an affective bias.
Compare that to the real world and realize we are living in a sophists paradize where feel-good ideas have power through democratic consent.
I would want a way more autist-friendly world than that, and the way I would imagine it is some clear fences, Schelling points, whatnot, some kind of a "this is mine, this is yours, and these things are not subject to the political process or democratic-collective consensus, only those and those things are subject to that". This would by own risk-aversion: to have some minimal insurance against the loss "sophists" can enact on me by persuading public opinion.
(I hope that is the least click-baity title ever.)
Political topics elicit lower quality participation, holding the set of participants fixed. This is the thesis of "politics is the mind-killer".
Here's a separate effect: Political topics attract mind-killed participants. This can happen even when the initial participants are not mind-killed by the topic.
Since outreach is important, this could be a good thing. Raise the sanity water line! But the sea of people eager to enter political discussions is vast, and the epistemic problems can run deep. Of course not everyone needs to come perfectly prealigned with community norms, but any community will be limited in how robustly it can handle an influx of participants expecting a different set of norms. If you look at other forums, it seems to take very little overt contemporary political discussion before the whole place is swamped, and politics becomes endemic. As appealing as "LW, but with slightly more contemporary politics" sounds, it's probably not even an option. You have "LW, with politics in every thread", and "LW, with as little politics as we can manage".
That said, most of the problems are avoided by just not saying anything that patterns matches too easily to current political issues. From what I can tell, LW has always had tons of meta-political content, which doesn't seem to cause problems, as well as standard political points presented in unusual ways, and contrarian political opinions that are too marginal to raise concern. Frankly, if you have a "no politics" norm, people will still talk about politics, but to a limited degree. But if you don't even half-heartedly (or even hypocritically) discourage politics, then a open-entry site that accepts general topics will risk spiraling too far in a political direction.
As an aside, I'm not apolitical. Although some people advance a more sweeping dismissal of the importance or utility of political debate, this isn't required to justify restricting politics in certain contexts. The sort of the argument I've sketched (I don't want LW to be swamped by the worse sorts of people who can be attracted to political debate) is enough. There's no hypocrisy in not wanting politics on LW, but accepting political talk (and the warts it entails) elsewhere. Of the top of my head, Yvain is one LW affiliate who now largely writes about more politically charged topics on their own blog (SlateStarCodex), and there are some other progressive blogs in that direction. There are libertarians and right-leaning (reactionary? NRx-lbgt?) connections. I would love a grand unification as much as anyone, (of course, provided we all realize that I've been right all along), but please let's not tell the generals to bring their armies here for the negotiations.