So if I double the velocity, aerodynamic drag doubles as well?
Careful, there. This will get you into all kinds of trouble.It takes 4 times the energy to achieve twice the velocity for a given mass even in a vacuum, anyway.
Now you are confusing the energy needed to get up to some velocity versus the energy needed to maintain that velocity. Ignoring drag, the energy required to maintain a particular velocity is *zero*.With drag squaring with a doubling in speed, the power requirement for overcoming that force will be 8 times when it was twice as slow!