While not really the same at all, a case in point.
A year or so ago Red Bull's F1 team (I think it was RB) got in trouble for having a front wing that deflected at speed.
They designed it to flex a certain way so it reduced drag at high speed, but once the car/airflow slowed down it'd return to its normal high downforce shape.
And from what I've read, in some circumstances (very few) you can actually be too stiff.
Take with a grain of salt, but seems plausible.
Mainly at least to my understanding, it really only happens when you cant adjust the suspension to compensate for the extra stiffness. IE: have to use some sort of spec suspension.
http://www.hotrod.com/articles/chass...rigidity-flex/