Here, presuppositions are very prominent. Nucleic acids as carriers of inheritance. Genetics is so important today that it can justifiably be part of general education. The problem I see here is that there is a very vocal group of biologists who say that DNA carries ALL the information. They are extreme reductionists in philosophy - as their central thesis has never been proved.
Biology provides as many examples of presuppositional thinking as any other discipline.
However, philosophy should be clearly labelled as philosophy. I would go so far as to say that I'd favor requiring all degree candidates in science fields to take a sequence of courses in philosophy of science. Rather, philosophy provides the foundations on which science is built. However, I fully endorse your view that these issues are part of any good science education.