The simulators can just use a random number generator to generate the events you use in your decision-making. They lose no information by this, your decision based on leaves falling on your face would be uncorrelated anyway with all other decisions anyway from their perspective, so they might as well replace it with a random number generator. (In reality, there might be some hidden correlation between the leaf falling on your left face, and another leaf falling on someone else’s face, as both events are causally downstream of the weather, but given that the process is chaotic, the simulators would have no way to determine this correlation, so they might as well replace it with randomness, the simulation doesn’t become any less informative.)
Separately, I don’t object to being sometimes forked and used in solipsist branches, I usually enjoy myself, so I’m fine with the simulators creating more moments of me, so I have no motive to try schemes that make it harder to make solipsist simulations of me.
I think that pleading total agnosticism towards the simulators’ goals is not enough. I write “one common interest of all possible simulators is for us to cede power to an AI whose job is to figure out the distribution of values of possible simulators as best as it can, then serve those values.” So I think you need a better reason to guard against being influenced then “I can’t know what they want, everything and its opposite is equally likely”, because the action proposed above is pretty clearly more favored by the simulators than not doing it.
Btw, I don’t actually want to fully “guard against being influenced by the simulators”, I would in fact like to make deals with them, but reasonable deals where we get our fair share of value, instead of being stupidly tricked like the Oracle and ceding all our value for one observable turning out positively. I might later write a post about what kind of deals I would actually support.