I guess my concern is mainly about the air distance part of the takeoff.
If the book is assuming V2 (or V2+10 AEO) at the screen, based upon some (unknown) Vr, and using those data to calculate the distance covered from rotation onwards (and, indeed, from start to rotate too) yet you arbitrarily round V2 upwards to a (possibly erroneous) "Vr", are all your distances now out of whack?
Plus, if the discrepancy is huge, are things like trim settings or forces during the rotate going to be wrong too? I agree you've probably got speed in hand, and thus plenty of margin to the stall, but there's a reason the regs put LOWER limits on the scheduled speeds - because if they didn't, the OEM would be tempted to set them dangerously low, to gain a bit more performance. Thus, overly fast speeds MUST be hurting you somewhere....