Chemistry is one of the “typical” pre-med majors because there is a large overlap with the courses required for pre-med and the courses required for a chem major.
Pre-med is an intention, not any particular major. You can major in just about anything and still be a pre-med. You just need to be sure that you complete the coursework required for admission to med school. In my daughters’ med school classes, there were students with majors that ranged from forestry to music composition to theology to business to Italian to physics, math, BME, as well as the usual bio, chem biochem and neuroscience majors.
Most med schools require:
2 semesters intro bio w/ labs
2 semesters gen chem w/labs**
2 semesters ochem w/ labs**
2 semesters intro physics w/ labs**
2 semesters of writing skills or writing intensive courses
2 semesters of college level math** (one semester needs to be stats or biostats)
1 semester biochem
1 semester intro psych
1 semester intro sociology
Courses with ** are required for a chem major. Also required for most bio, biochem, and neuroscience majors as well.
Chemistry is more math intensive than bio or neuroscience. Chem majors typically need to take 3 semesters of calculus and often differential equations as well. Chem majors are also usually required to take a calculus-based physics sequence, instead of the algebra-based physics classes that bio (and neuroscience) majors usually take.
Neuroscience requirements vary a lot by program. At some colleges, neuroscience is a interdisciplinary program that includes both biology and psychology coursework. At other colleges, neuroscience is mostly biology-based with some computer learning mixed in.
One of my daughters was a double major in neuroscience and mathematics. At her college, neuroscience was largely contained within the biology department, with a few cognitive science classes mixed in. My D also took 2 comp sci classes (as electives) to help her with her neuroscience research. Her area of research was math cognition and learning. This daughter later went to med school and now is a physician in a field that has absolutely NOTHING to do with neuroscience.
So choose major because you like it and because it will help you find a job after college just in case you don’t go to med school.
As far as post graduation job opportunities go–chemistry has better job prospects than biology or neuroscience.