Caffeine does not wake you up. It just hinders your brain to accept more sleepy chemicals, which means you only ever stop getting more tired. If you think "but coffee wakes me up!" Think again - does it really, or are you just normally drinking it, when your body wakes up naturally? For best effects, caffeinate yourself, when you are most awake.
That's factually false. Its main mechanism of action is adenosine antagonism, but it does cause a rise of blood adrenaline, as well as a release dopamine and norepinephrine to a handful of systems in the brain.
It's true that it doesn't improve mental acuity, and can leave you in an exhausted-but-anxious state, but saying it doesn't actually stimulate you or wake you up is incorrect.
I've definitely had it wake me up the first time I drank it, was grumpy and tired late in the evening, had a shot of espresso and was bouncing off the walls
Placebo is a hell of a drug sometimes.
Coffee makes me tired. I still drink a shit ton every morning but it makes me more tired.