Does taking sleep-aids (NyQuil, Advil PM, etc.) affect training or quality of sleep?

I took zzzquil a few nights in college when I had trouble sleeping. It's diphenhydramine (benadryl), which according to google is also the sleep aid in advil pm and tylenol pm.

My experience with it was not good. I didn't truly fall asleep after taking it. It tended to put me in a weird and unpleasent state of being half-asleep. Then the next day I'd usually feel extremely sluggish. It was a different feeling then grogginess, kind of like your brain and body moving extremely slowly. I only took it a few times and only remember having easy runs the days after taking it. I think running a workout would have been really difficult in the state I was in. It also made my mouth extremely dry.

I would not recommend diphenhydramine as a sleep aid. I stopped taking it no matter how bad my insomnia was after the first few times I tried it since it didn't help at all and had unpleasant side-effects.