Sending a runner on a 3-0 pitch would be really unusual.
A hitter having a green light doesn’t mean “swing”. It should mean look for your pitch and if you get it, drive it.
I can pretty much guarantee that, if Turang had been running, and Contreras took a strike because it wasn’t what he was looking for, and Turang was thrown out, a lot of the same people who are now saying he should have been running would be saying “way to run yourself out of an inning”,