There have never been any T/O performace data for Flaps 2 so what are they for??
Quite wrong. In my former company, Boeing issued us with Flap 2 Runway Analysis charts. The safety factor being at V2 +15 we selected flap 1 whereas with a flap 1 take off an inadvertent selection at V2 + 15 would cause a problem due to the LED retracting at a dangerously low IAS.