I'm not sure I could force myself to fall asleep after drinking some caffeine, especially when I have a kitchen timer staring my in the face with 15 minutes left on it.
Also, if people usually drink their stimulant sweet, that's another confounding variable.
(I'm assuming that's what you meant.)
Which is why I said espresso shot, which you can throw in without much time for "ooh I am drinking coffee" thoughts.