F/Ds of nower days are pretty good for engine failure at rotation. Yes they are pretty good for most regimes of flight too when the MCP is properly set up.
However the cues the F/Ds present are only as good as the information provided them via the symbol generator, FCCs, and navs be they GPS or VHF.
Bottom line the flying pilot must always scan to confirm accurate and reliable information is being presented... situational awareness.