I seem to find people doing that a lot with anime. They just drop it right before it gets good. For instance my sister dropped Madoka at episode 7 when one of the best parts is in the following two episodes. (people who've seen it know what I'm talking about)

I was just uninterested, and it was boring me to death :p

Wait. Did Savers or Madoka bore you to death?

Savers.
Never touched Madoka.

Oh, okay.

Black Wargreymon is not an emo. Digimon came out long before the term "emo" was even invented (and it is still one of the dumbest terms ever). These days emo seems to be thrown around for anything that resolves around drama or gothic, even though goth and emo are too completely different things.

TO be fair, while I will give Japanese series about 10 episodes to impress me, I should not have to spend 3-4 hours watching something for it to get good. If I am not enjoying something, why watch it when I can watch something I enjoy from the get go instead? I just don't have the time anymore these days to give it to something long in hopes that it is going to pay off in the end. Sure, there have been some series that did not get good until the halfway point, but I shouldn't have to sit through that much before I start enjoying something. It took me 20 episodes before I started to enjoy Trigun, and as such, I will never watch the show again. I would rather watch Cowboy Bebop, which I enjoyed right from the get go.

It doesn't matter when the term was created.
Black Wargreymon just sat around, moped over his existence, and became an overall plot tumor. He was "Emo" because all he did was cry.
He was confronted by Azulongmon for being a dumbass, then sacrifices himself.

He wasn't gothic. He wasn't dramatic. Half his lines were whining over existence. The other half were "I MUST FIGHT THIS DRAGON THING BECAUSE THAT WILL MAKE ME A REAL BOY" (Something that he never does, either).

Ooooh! Now I remember him! I think as a kid I wanted that to work out for him. It sucks that my memories of some shows I watched as a kid are so hazy...

As a kid, everyone loved Black Wargreymon.
But having rewatched 02 a few years back, I really didn't like him.

Yeah, for some odd reason I was into "emo" characters as a kid. Shadow the Hedgehog, Black Wargreymon, Cloud...