Just as you can end up in trouble by trusting the FMC too explicitly without checking it's inputs/outputs properly, you can end up in trouble by blindly following ECAM.
Just as you can end up in trouble by blindly following QRH or RECALL drills on a B737.
Proper diagnosis of any failure must be completed by the flight crew prior to taking corrective action no matter what aircraft type you fly.
In the same way I like to think of the FMC as replacing the flight deck Navigator of old, the ECAM replaces the Flight Engineer. He may be an expert on the aircraft systems but he is not a pilot - the ECAM can only give you the info and no airbus pilot is trained to follow ECAM without reference to other sources of information, just like proper pilots.
I've seen the screens go dark in the sim with an AC BUS 1 fault combined with dispatch with DMC 3 replacing a failed DMC 2.
There aren't pages of ECAM, because there's no ECAM or anything else on in the cockpit except one amber FAULT LT, on the AC ESS FEED pb.
So we pressed it.
And everything came back up. No drama.
Gotta love the foot rests, too..