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Vladimir_Nesov comments on Human values differ as much as values can differ - Less Wrong
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Compare with your beliefs being implemented as patterns in your brain, which is a part of the territory. That the fact of your beliefs being a certain way, apart of their meaning and truth of that meaning, is a truth in its own right, doesn't shatter the conceptual framework of map-territory distinction. You'd just need to be careful with what is the subject matter you currently consider.
I don't know what you read in realist/anti-realist distinction; for me, there is a subject matter, and truth of that subject matter, in all questions. The questions of how that subject matter came to be established, in what way it is being considered, and who considers it, are irrelevant to the correctness of statements about the subject matter itself. Here, we consider "formal preference". How is it defined, whether the way it came to be defined was influenced by verbal preference, is irrelevant to what it actually asserts, once it's established what we are talking about.
If I consider "the program that was written in file1.c this morning", this subject matter doesn't change if the file was renamed in the afternoon, or was deleted without anyone knowing its contents, or modified, even perhaps self-modified by compiling and running the program determined by that file. The fact of "contents of file1.c" is a trajectory, a history of change, but it's a fact separate from "contents of file1.c this morning", and neither fact can be changed, though the former fact (the trajectory of change of the content of the file) can be determined by one's actions, through doing something with the file.
Verbalized preferences don't specify formal preference. People use their formal preference through arriving at moral intuitions in specific situations they understand, and can form verbalized preferences as heuristic rules describing what kinds of moral intuitions are observed to appear upon considering what situations. Verbalized preferences are plain and simple summaries of observations, common sense understanding of the hidden territory of the machinery in the brain that produces the moral intuition in an opaque manner. While verbalized preferences are able to capture the important dimensions of what formal preference is, they no more determine formal preference than Newton's laws, as written in a textbook, determine the way real world operates. They merely describe.
This is closer. Still, verbalized preference is observation, not the reality of formal preference itself. The goal of preference theory is basically in coming up with a better experimental set-up than moral intuition to study formal preference. This is like moving on from study of physics by making observations of natural phenomena with naked eye, to lab experiments with rulers, clocks, microscopes and so on. Moral intuition, as experienced by humans, is too fuzzy and limited experimental apparatus, even if you use it to observe the outcomes of carefully constructed experiments.
Your beliefs shape the world though, if you allow high-level concepts to affect low-level ones. Aside from being made of the world in the first place, your actions will follow in part from your beliefs. If you don't allow high-level concepts to affect low-level ones, then verbalized preference does not cause formalized preferences to exist.