Today, people probably stay home in safe states - if you vote Democrat or Republican in California - you already know how the state is going to be called. Same can be said for Alabama. Why waste your time for a sure thing?
Some 65% of the population voted last time. Last cycle, there were some jokes about how only votes in the handful of battleground states mattered. A popular vote policy could activate a lot of non-voters who suddenly felt like their voice could have an impact on the result. How that would shake up, I am not sure. I have heard that most republican voters are already participating, there are significantly more democrats who stay home.