All members who have made posts on this subject have made good points and as ASquared says, we all really agree. And I have many times agreed that at least trimming to a half ball is easier on the trim and on my leg if that is the only force behind the rudder. There in lies the greatest PRACTICAL advantage of zero side slip with an engine inoperative, less rudder force.
My general complaint is that in GA zero side slip is an over emphasis to where multi students think that ball out of center is always an objective when an engine is inop, it is not. If it is needed, give it a try, why not? It may be a performance enhancement tool to some small degree that could be important sometimes as an "ace in the hole" that theoretically will do some good. As I have said, this technique does not hurt anything with regards to performance. So what the heck, try it before you hit the trees? I would too, why not try anything at that point?
The only real problem is people who I have referenced before in this thread, who try to identify a dead engine with the ball out of center. This has happened several times in my examining work. The situation is the pilot corrects for the engine failure with all aileron and then has to use the wrong (opposite) rudder. Then the student incorrectly tells me which engine is out because "dead foot dead engine" is wrong here. When I ask why the ball is out of center he tells me that it's not suppose to be in the center. This is a training problem.
Also, as I have mentioned here too, I see students trying to fly a 1-engine ILS's and desperately trying to hold the GS/LOC and the airspeed which is hard enough, but to complicate things he is also trying to keep the ball out of center. Of course, when going down hill at partial power there is no need for this at all.
I also talk to people before I fly with them and almost all tell me that the zero side slip technique will enhance performance 3j00- 500 feet per min. When I fly with them they are surprised when it actually reveals no enhancement what so ever, or so slight an enhancement that it is immeasurable. Yes, maybe I am a victim of placebo effect too.
This all tells me that there is, in general, too much emphasis on this element of engine out multiengine knowledge.
To me this whole thing is mostly an over done concept, almost a myth with SOME TRUTH behind it.
Thank you for all your comments on this thread.