I'm with Onan on this one.
In the case of an EFATO, my SOP is to climb straight ahead to 500' AGL and increase speed to 90kts and only then begin the turn and then not greater than Rate 1. The speed helps to reduce the effect of asymmetric thrust and not exceeding Rate 1 means I maintain as much (vertical) lift as possible.
If you can't climb on 1 engine whilst flying in a straight line you have to ask yourself whether you should be there in the first place irrespective of whether you are at MAUM or not.
I think I'm right in saying that VMCa calculations allow for 5 degrees of bank toward the live engine in order to maintain controlled flight in a straight line. If we're talking about a minimum speed where controlled flight can be maintained in the turn it would be a figure greater than VMCa - I think
Where's Alex Wittingham when you need him!