How did I lose the anthropic argument? We're still only going to know about the sort of universe we're living in.
The original form of the Bostrom thesis is that, because we know that our descendants will probably be interested in running ancestor simulations, we can predict that, eventually, a very large number of these simulations exist. Thus, we are more likely to be living in an ancestor simulation than the actual, authentic history that they're based on.
If we take our simulators to be incomprehensible, computationally-rich aliens, then that argument is gone completely. We have no reason to believe they'd run many simulations that look like our universe, nor do we have a reason to believe that they exist at all. In short, the crux of the Bostrom argument is gone.
Jonathan Birch recently published an interesting critique of Bostrom's simulation argument. Here's the abstract:
The paper is behind a paywall, but I have uploaded it to my shared Dropbox folder, here.
EDIT: I emailed the author and am glad to see that he's decided to participate in the discussion below.