Small country helps chances Answered
I am a US citizen living in a very small country in Europe where only a handful of students apply to USA each year. Does this give me a small boost in chances, all other things being equal, in top universities?
Since you are a US citizen where you live doesn’t really matter because you aren’t applying as a foreign student, so you’re not considered an international student. That being said, your application is going to be viewed slightly differently from other American applicants due to the fact that you live overseas. It won’t really help you cause you’re technically a domestic applicant, but you can write about your experience.
Edited to differentiate from his answer
So for all intents and purposes you are a US domestic student the only “boost” you’d get is being able to talk about your expirences and if your essay isn’t great that is heavily mitigated. Schools want international students to brag about, a US citizen is not “brag worthy.” So there is no impact besides being a US applicant instead of international. The boosts are sometimes positive and sometimes negative.
Hope this helps and comment if you need clarification.