Thank you, Nuts.
I will guarantee you that I can get higher at the end of the runway with a head wind and basic climb procedures.
Sheesh.
The plane is climbing in the air mass, and if the air mass is moving "backwards" compared to the runway heading, then I'll get higher than with no wind, or worse, a tail wind.
Those that have not flown a HUD with an inertial flight path vector ( not angle, but actual vector based on the Earth) would see this.
Every carrier pilot sees this when they have "wind over the deck" and lurch over the end of the boat.