Now that I think about it some more, abolishing the Electoral College would likely improve voter turnout. This is pure conjecture, but I'd be willing to bet there are a fair number of people who live in a state that almost always goes to the party they're not aligned with; then when voting season comes around, they figure their vote won't matter because their state will go in the opposite direction regardless. I can definitely imagine, say, a Annoying Orange supporter in California deciding not to vote because California nearly always goes blue. Or a Clinton supporter in Alabama who figures a single drop of blue is nothing compared to an ocean of red.
If the election was decided on pure popular vote, these people would be more inclined to vote. Probably.