Originally Posted by orninn
For some reason an actual Boeing take off speed table tells a different story...
Not really. The story it tells is that this speed schedule is governed by Vmu - see earlier in this thread.
That is, if we would rotate at a speed equal to 1,05Vmc we would reach Vlof at a speed lower than 1,1Vmu.
That is not correct. Vmc and Vmu are independent variables. You're assuming a relation between them that does not exist.
As the density altitude gets higher, the Vmc is reduced and so is the V2 with it until reaching the 1,13Vsr limit where the V2 becomes a fixed number.
Except that V2 is also related to Vr. Any criterion that pushes Vr up, pushes V2 with it to a value higher than the minima you quote here.