UC and other benefits - need to clarify?

I've gone through the process of claiming UC in a managed migration from ESA. During the online claim form there's a question about what other benefits one is on - I answered 'yes' as I receive ADP. However, there was no further question asking for the other benefits I am on to be specified.

Do I need to record in my online journal to specify that I am on ADP, along with the rates I receive for this (eg Standard/Enhanced)? Obviously, this affects my ESA in terms of the premiums I also receive as a result of the ADP I get - so if the DWP aren't aware of this, I may not receive the correct amount of UC when this amount is calculated.

Or will the DWP just automatically establish exactly what I'm receiving from their own records?

Thanks in advance.