It for sure does. It takes at least 3 hours of sleep in order to get REM sleep. Which is what is what is the actual sleep that replenishes you. I'm not recommending it, or even saying it isn't gonna effect you, but it is definitely possible to function with that for a while.
Agreed, with training. But back to the OP, I think adequate sleep would go a lot further than a lack of sleep made up for by energy drinks.
Especially on those multi day trips, where your body needs to recover, sleep is your friend. I even sometimes take afternoon naps after a hard day of boarding if I'm going again the next day.