Don´t see the benefit of this…
Every aircraft i have flown so far (with payload in it) wasn´t able to continue cruise flight at given airspeed in OEI.
Airspeed always had to be brought back to about 70 knots…..which means that you might safe fuel with one engine OFF, but you´ll need to fly longer to get to your destination.
Deciding to shut off one engine, but use it later is a decision usually carried out when there is a longer flight between the place the occurrence happens, and the place of intended landing-which also means that you got plenty of time to restart the engine….