I was interested to learn that Paul subscribes to evidential decision theory (EDT) in a similar way as I do. In the past, I had been a regular causal decision theorist (CDT), as most people are, but upon learning about EDT, I became more uncertain. [BTW, I wrote those linked Wikipedia articles on EDT and CDT in 2009. If you can believe it, there were no Wikipedia articles for these terms before then.]
In most of the standard thought experiments, I side with the EDT'ers. Even for the smoker's lesion problem, where the "correct" answer is usually that you should smoke because you can't change your genes, I'm uncertain what I would do.
I don't know if I understand timeless decision theory (TDT) properly, but if I do, then I think TDT is basically EDT applied only to your cognitive algorithms, not to everything. That is, if you choose X, it gives you evidence that the general cognitive algorithm you're running tends to output X. But it doesn't extend to non-cognitive parts of the universe. I would ask, "Why not? Your genes are another type of algorithm. Why not use EDT for them too?"
Anyway, I should read more of what Paul has to say on this later.
As for the article itself, it explains some really important ideas, a few of which I and friends have discussed informally but haven't written down systematically. There are many interesting points, but one that I wanted to highlight is the following. It suggests why, even for our own sake, we should ensure that sims are treated nicely and that religious fundamentalists don't take control of massive computational resources:
One way in which evidential decision theory would be relevant is in the way it allows
you to control the probability that you are in a simulation in the first place. If your
civilization decides to develop the capability to run simulated realities, then you are
meta-causing civilizations in general to do likewise (including civilizations on which our
own might be modeled), and making it less likely that almost all civilizations end before
they are capable of producing simulated realities, in turn making it more likely that you
are in a simulated reality. If, however, your civilization decides not to acquire this
capability then you are meta-causing civilizations in general to do likewise, making it less
likely that you are in a simulated reality. Once your civilization has the capability to
produce simulated realities, if your civilization decides to do it, this would make it more
likely that other civilizations also do it, again making it more likely that you are in a
simulated reality. On the other hand, if your civilization decides not to produce
simulated realities, this makes it less likely that other civilizations would choose to do
so, and therefore less likely that you are in a simulated reality yourself. [...]
Evidential decision theory is not restricted to the issue of whether we are in a simulated
reality. If we are in a simulated reality, it might be relevant in allowing us to control the
probabilities that we are in various kinds of simulation. If we construct many simulated
realities in which various things happen, then if another civilization is simulating us, we
might be meta-causing it to make those things happen to us. This creates an argument
for being kind to the inhabitants of any simulated realities that you do make.