I was always taught that you shouldn`t turn into the dead engine ie. Starboard engine out......turn left. There may, of course, be reasons where this is not practical, sometimes.
On what aircraft?
For any Perf "A" type, that is complete nonsense.
Have you heard of emergency turn procedures to avoid terrain following an engine failure above V1? The terrain does not position itself to suit only an failed engine on a defined side of the aircraft. In the real world, airliners are necessarily capable of turns either way with an engine inop. Such things are trained as a matter of routine in simulators, and done in reality if needed.