I think you may be confusing EICAS and the ECL.
EICAS only tells you a master warning or caution statement.
For the B777 you then select the Electronic Checklist on a MFD. Some checklist open up at the top item and some have to be selected from the ECL. For example the Engine Failure checklist will open when the ECL is selected to a MFD but a severe damage checklist needs to be selected from an option list from the ECL.