"if you got a flap asymmetry warning, an un-commanded slat retraction, a trim runaway, an obvious control jam or hard-over, a double engine flame out, (if you only had two for the less astute among you) after V1 you would not even consider aborting the take off because you had said so???"
If the space shuttle, operating on UHF Freq, lands 2000 feet in fron of you, but you have an engine over temp at Vr, are you still going to attempt to stop? What if it is a UFO?
Isn't this getting a bit esoteric? If you have a loss of both engine, it will be a very short flight, whether one rotates or not. All the rest of your examples are just about the same, the a/c isn't going to fly, well again, at least not very far. However, I am at loss to any of your examples ever having happened, doesn't mean they can't, but it is highly unlikely, bordering on impossible. I mean really, dual engine flameout on the runway???