Yes absolutely, all failures are announced in that same place on the PFD. The pilot flying has eyes on the PFD continuously, only looking away for a few second

Yes absolutely, all failures are announced in that same place on the PFD. The pilot flying has eyes on the PFD continuously, only looking away for a few seconds at a time if handling other systems. Essentially when flying instruments you "scan" the 4 primary pieces of information in the middle of that screen every few seconds. On top of that there is an audible reminder when a new failure annunciator appears, so even if they were on autopilot and not paying attention (rare so early after takeoff) they would hear it and look.