"Downwind" mean "for the active runway in the published circuit direction for that runway"
"Base" mean "for the active runway in the published circuit direction for that runway"
If I'm doing something non-standard I'll put in the runway or direction but otherwise why clutter up airtime?
Gertrude am with you all the way there and the last time I checked the CAP on RT does not specify that you have to nominate the runway or circuit direction when making position reports in the circuit.