A similar test was made during WWII, flying side by side a Corsair and a Hellcat.
According to Corky Meyer, who was Grumman test pilot in WWII and participated in the test, they showed identical performances. The slower F6F wasn’t slower at all, but have a badly placed static port, that caused lower airspeed readings.
The whole story can be read in the book “Corky Meyer’s Flight Journal”, written by Meyer himself and published by Specialty Press.