I've worked in places with very strong product management, where every single detail must be approved by a PM. I've also worked in places where engineer has a lot of autonomy - "John from FOO dept is spending too much time wrangling the daily data updates. Can you help him, here is his email? Our higher-ups allocated two weeks for that, but we can extend this if needed." - and from then on, you are in full control of the design and implementation, subject to your team's rules (because no one wants a system with bus factor of 1).

For me, I've found that the latter places are much nicer to work in. The interview question seem to focus on latter situation too.