If you can see the obstacle you can avoid it hence part of the contingency might be cloud and visibility departure minima.
Generally, for the very shallow gradients involved, the human eye-brain cognition is just not up to estimating the difference between actual and required ... one really needs to do the sums beforehand.
The operator is always on the hook to satisfy OEI requirements when an engine fails after takeoff, but still on the SID.
That was the point I was trying to make, good sir.