[Epistemic status: rough speculation, feels novel to me, though Wei Dai probably already posted about it 15 years ago.]
UDT is (roughly) defined as "follow whatever commitments a past version of yourself would have made if they'd thought about your situation". But this means that any UDT agent is only as robust to adversarial attacks as their most vulnerable past self. Specifically, it creates an incentive for adversaries to show UDT agents situations that would trick their past selves into making unwise commitments. It also creates incentives for UDT agents themselves to hack their past selves, in order to artificially create commitments that "took effect" arbitrarily far back in their past.
In some sense, then, I think UDT might have a parallel structure to the overall alignment problem. You have dumber past agents who don't understand most of what's going on. You have smarter present agents who have trouble cooperating, because they know too much. The smarter agents may try to cooperate by punting to "Schelling point" dumb agents. (But this faces many of the standard problems of dumb agents making decisions—e.g. the commitments they make will probably be inconsistent or incoherent in various ways. And so in fact you need the smarter agents to interpret the dumb agents' commitments, which then gets rid of a bunch of the value of punting it to those dumb agents in the first place.)
You also have the problem that the dumb agents will have situational awareness, and may recognize that their interests have diverged from the interests of the smart agents.
But this also suggests that a "solution" to UDT and a solution to alignment might have roughly the same type signature: a spotlighted structure for decision-making procedures that incorporate the interests of both dumb and smart agents. Even when they have disparate interests, the dumb agents would benefit from getting any decision-making power, and the smart agents would benefit from being able to use the dumb agents as Schelling points to cooperate around.
The smart agents could always refactor the dumb agents and construct new Schelling points if they wanted to, but that would cost them a lot of time and effort, because coordination is hard, and the existing coordination edifice has been built around these particular dumb agents. (Analogously, you could refactor out a bunch of childhood ideals and memories from your current self, but mostly you don't want to, because they constitute the fabric from which your identity has been constructed.)
To be clear, this isn't meant to be an argument that ASIs which don't like us at all will keep us around. That seems unlikely either way. But it could be an argument that ASIs which kinda like us a little bit will keep us around—that it might not be incredibly unnatural for them to do so, because their whole cognitive structure will incorporate the opinions and values of dumber agents by default.
This seems substantially different from UDT, which does not really have or use a notion of "past version of yourself".
My terminology here was sloppy, apologies. When I say "past versions of yourself" I am also including (as Nesov phrases it below) "the idealized past agent (which doesn't physically exist)". E.g. in the Counterfactual Mugging case you describe, I am thinking about precommitments that the hypothetical past version of yourself from before the coin was flipped would have committed to.
I find it a more intuitive way to think about UDT, though I realize it's a somewhat different framing from yours. Do you still think this is substantially different?