.. the venerable Old S and JT ..
The other John might be venerable ... I'm just old and dinosaurish ...
Without quoting regs, etc, sensible corporate risk management dictates that the operator is responsible for making sure that information sufficient to permit a safe OEI departure is provided to crews.
Two cases normally would be addressed -
(a) recovery to the departure aerodrome
(b) diversion in the case of below minima weather.
It follows that, for (b), an alternative is to prescribe higher takeoff weather minima to avoid the need for a diversion.
I would expect that some consideration be given to the out of left field emergencies (aerodrome closed due to disabled aircraft, for instance). Typically, this would involve a suitable location to hold and climb prior to recovery or diversion.
In all cases for nasty spots, it is essential to see what works sensibly for the particular combination of Type and aerodrome.