So why is the crosswind component not given as standard?
The scene is set 15 years ago:
Seasoned Cambridge ATCO: "G-XX clear for take-off runway 23, surface wind 140 15 gusting 25"
Young Mooney pilot: "Clear for take-off G-XX"
Seasoned Cambridge ATCO: "That's straight across, you know"
Young Mooney pilot: "Roger"
I took off. It wasn't pretty, but we survived. Lesson? You are indeed pilot in command, but that doesn't mean that you can't take hints.