I think what you're missing is that money is one type of power, and that basically the study of economics, politics and culture are all just different ways of studying human relationships, of which inequalities of power are a crucial part. There are two broad types of relationships: relationships of rough equality and relationships of gross inequality of power. The latter are almost always abusive, because if you are in a position of much greater power than someone else, it's just too tempting and easy to take advantage of them. Preferences have little to do with it.
Preferences are the starting point of economic analyses, under the assumption that people pick what they want after who-knows-what a priori decision process.
Money (or, more commonly, assets) is sometimes included in models, but is not a starting point. If you're looking for models where solely wealth=power as an entry point into the field, I suggest political science (mentioned above) or finance. Overlap with economics in toolkit and occasionally questions, yes, but not composing the entirety of economics.
I think what you're missing is that money is one type of power, and that basically the study of economics, politics and culture are all just different ways of studying human relationships, of which inequalities of power are a crucial part. There are two broad types of relationships: relationships of rough equality and relationships of gross inequality of power. The latter are almost always abusive, because if you are in a position of much greater power than someone else, it's just too tempting and easy to take advantage of them. Preferences have little to do with it.