Would intended Major decrease my chances of admission?

Just addressing the ivies or any other highly selective that does not admit by major or school, I think it is a fallacy to think that students indicating certain majors that get in will have materially lower qualifications than students indicating other majors. Their academic strengths may vary in certain specific areas, but the students you are being compared against will be top students with strengths in those areas. IMO, the correct strategy is to showcase strengths that you can substantiate rather than try to create a persona you think that will have weaker competition.