Science

Now that I think about it, I don’t think acetaminophen has been effective in ever curing my headaches even back when I was prescribed liver damage amounts.

Sleep apparently > painkillers

I wouldn't necessarily generalize; even if acetaminophen doesn't work, other painkillers like aspirin or naproxen sodium might. (Personally, I take naproxen sodium and only naproxen sodium when I have a headache.)

For me, out of everything OTC, Advil Liquigels work the best for anything wrt aches & pain. Headache, muscle ache, period cramps, etc. And it’s pretty quick, too. The generic ones are fine.

Of course, anecdotal evidence and such.