You can be agile without doing Scrum

The idea that Scrum is the parent of Agile and therefore you have to do Scrum to be Agile is wrong. You can be agile without doing scrum and you can do scrum (badly) without being agile. They are not the same thing.
If you do Scrum well then you are going to be pretty agile but Scrum does have some weaknesses that you need to address in other ways. Good Agile teams experiment with a lot of other approaches. They try Kanban, they try working without sprints and they try different team roles and responsibilities.
Keep an open mind.