According to the article from Flo, "Different pills have different chemical formulations, and the side effects these chemicals can have can vary from person to person." The article continues on to say that some birth control doesn't contain the same ingredients and that some might contain more progestin or estrogen that can give an "androgenic effect on your body." Androgen is a male sex hormone.
Flo
The article written on the Westlake Dermatology website by dermatologist Doctor Melinda Conroy, provides 4 types of FDA-approved birth control for acne which are, "Ortho Tri-Cyclen, Estrostep, Yaz, and Beyaz. This shows how not all birth control can help reduce acne and these 4 FDA-approved can be used for this purpose. Doctor Conroy also says that "Birth control pills that contain only progesterone may cause acne." Saying that usually pills that only contain progesterone it leads to higher chances of producing acne as progesterone, "can raise body temperature and increase sweating in addition to increasing sebum production. Combined, this often makes acne worse."
Westlake Dermatology
From the research I did, I concluded that it depends on the type of birth control you take and how your body responds to it is what determines why some people have certain symptoms and some don't such as acne. Also, birth control that contains progesterone can lead to acne developing. If someone is serious about taking birth control to reduce acne or is scared to take it because of the effects, they should try speaking with their doctor and a licensed dermatologist.