This is the right mindset for sure. Most of the time the initial question is very loosely defined, but actually having these conversations with the people who "want data", and helping them structure their thinking is also a hugely rewarding part of working in data and analytics, and will help you advance in your career.

It can be easy to have a cynical view of what people are asking for, but in my experience there is often real value you can uncover.

One thing which helped me a lot is having a decent understanding of accounting and finance. A fun, and fairly quick, way to develop that is by taking a course on financial modelling (in excel). Modelling a business in a spreadsheet is a lot of fun, and it helps you build good intuition on the underlying "physics" of how a business makes money.