Why not find out? It would be awful if you went your whole life consuming something that didn't do what you that it was.
I'm about the same. I frequently drink 4-5 double shots of espresso when my little one sleeps at around 11, and I head to bed an hour or two later.
I don’t really notice being more alert with caffeine, and drinking coffee seems to just be out of habit mostly.
If I drink too much I notice my heart beating a bit faster and a slight anxiety feeling.
I generally drink two cups a day
Edit: I would add that being high on caffeine doesn't necessarily mean I have trouble falling asleep.
Stimulants tend to calm the ADHD mind, and can stop racing thoughts that make it harder to sleep.