This is actually typical bad parenting or poor management. Whilst orders without explanation work in the army through absolute discipline, it doesn't work very well with people who haven't been conditioned to it.

Given an instruction when you don't understand the "why" is highly ineffective. As seen by your experience with your doctor.

There is also a further problem in that antibiotics treat not just you, but prevent infection in the wider population. People in general find it hard to think about the wider impact, which is something we see every day with regards to the world wide population's regards to the impact of their own pollution. It's why we recycle but then drive SUVs.