Yes – Agile and agile are different. As an adjective, it means you need to be flexible and that necessitates a different management approach.
However the Agile Method is not a buzzword, nor does it mean making things up as you go along. It is a very clearly defined process that can MANAGE change. You show your customers what you’re working on, and then IF things change in the middle then the process will cater for that and you can keep the project going.
Customer: “That’s not what I wanted, I wanted X not Y”
Developer: “No problem, we can change it. It’ll take this many story points, that means you lose A and B from this sprint, and we’ll schedule them into extra sprint at the end” etc.