Hi ,
Using or not its not an issue. but assignment was mandatory as as per the FM logic.
Eexplain your BW load problem to the functional team and convenience them other wise it will be in yellow status only.
for your kind of issue there is no way to change QM status yellow to green as automation. Even if you use process chains also we need to to process by manually executing Progran- RSPC_PROCESS_FINISH.
Actually if we are getting zero records we can set settings of QM Status to turn green. but your case different.
If your Function team won't allow to assign CO Area then raise SAP OSS and they may assist you.
please share warning message screen.
Thanks