Hi Elle,
I 100% agree with your thoughts too. The bachelor of science is a fantastic option if you don't really know what particular field in health science you want to go into, because there are so many possibilities you can explore! As you said, if being a doctor/dentist isn't what you truly want, but you may be interested in audiology for instance, you could adjust your plans pick subjects in the bachelor of science that are more related to audiology (i.e. auditory neuroscience, anatomy) - there's a LOT of flexibility in the bachelor of science degree to do that (compared to a more specific degree like bachelor of dental science, for example). If you're extremely interested in the sciences, the bachelor of science would also allow you to do research projects/study specific areas in depth too.
So I'd say go with your heart, don't listen to just what your parents say. At the end of the day, it's your choice, so go with one that you're happy with (this is very important)!