The non flying pilot is more likely to notice and asses a problem than the flying pilot, and the V1 decision has a recognition buffer built in, so I don't think your particular scenario holds water.
Most Companies like the captain to operated the abort as they have the legal resposibility for the safety of flight under each countries various rules.
I shudder to think of an abort gone wrong, initiated by the FO.
Lawyer: "So Captain, would you have aborted under the same circumstances?"
Captain: (With the benefit of hindsight, knowing now that the abort was an incorrect decision) :Well....No, I wouldn't."
Lawyer: "So the FO acted without your permission in the abort, and you believe that the abort was an incompetent decision at the time..."