— too academic?
In a real context, An individual’s motivation is often influenced (or determined) by a mix of internal and external factors. If a motivation is vague then not worth analyzing. If it has a non-trivial internal factors, then I would classify it as intrinsic motivation.

If I consider some motivation Int or Ext, it doesn’t have to agree with another person’s view.

—  Contexts: 1) my children 2) my endeavors 3) people in general