Weird. I've been downtown for 3 years now, and I've never seen or heard of anybody getting a jaywalking ticket. I pretty much use the New York style and cross the street when it's clear. I feel like I'm a competent enough adult to see when it's clear to go. However, I do watch the signals and give cars right-of-way when they have it.
What people do here is continue to cross after they lose right-of-way. This means cars have to sit through 3 or 4 lights before they can turn the corner. That's half the traffic problem with downtown Seattle.