Thus it is easy to forget that it is impossible to verify that "territory exists independently of our models of it"
This is one of those times it really is useful to pull out definitions... and for any reasonable definition of 'territory' and 'map', that's self-evidently true. Our models, even if correct, are underdetermined to the point that they cannot completely explain everything. Therefore, there's something else. That's what we call the 'territory'.
Whether the territory is vastly different from our models or simply more detailed, they do not coincide. And on the word 'independent' - well, the territory contains the map, so there's no short-circuit if the territory has map dependence.
Our models, even if correct, are underdetermined to the point that they cannot completely explain everything. Therefore, there's something else.
Again, that's the realist approach. The minimum one can state is much less certain than that: all we know for certain is that carefully repeated experiments produce expected results. Period. Full stop. Why they produce expected results (e.g. because there is "something else" that you want to call the territory) is already a model. It's a better model than, say, Boltzmann brains, but it is still a model...
http://www.scottaaronson.com/blog/?p=1103
Eliezer's gung-ho attitude about the realism of the Many Worlds Interpretation always rubbed me the wrong way, especially in the podcast between both him and Scott (around 8:43 in http://bloggingheads.tv/videos/2220). I've seen a similar sentiment expressed before about the MWI sequences. And I say that still believing it to be the most seemingly correct of the available interpretations.
I feel Scott's post does an excellent job grounding it as a possibly correct, and in-principle falsifiable interpretation.