For example, you can have a complicated authentication process where you require a password, 2FA, etc. These things help ensure that the user is that user. But once that process completes, it is replaced with access_token+refresh_token. Any user can take those item and impersonate that user. Attempts to lock this down require server-side state with the ability to revoke stolen tokens if detected.
Don't get me wrong, the same issues arise if you were using cookie-based session id's or the equivalent. But once you're doing this stateful token stuff, there appears to be a lot of additional complexity without a lot of additional benefit over the traditional way.
However, if you aren't worried about this level of security, there is clearly a benefit to using this newer style.