Only after it already happened they confirm if it is safe.
On a global safety issue it isn't a problem, but on an individual level, it is scary.
The passengers were screened for fever before boarding the plane. On the individual level there are thousands of better things to worry about.
I'm not saying it's likely to infect you, I'm saying this would cause personal distress, even if it is unlikely or impossible.
I can't immediately find a source for your claim that sneezing is the "primary means" of transmission - can you provide one?
Though apparently this person wasn't infectious at the time as has been pointed out.
--WHO
You're not the first nor the last to be tripped up by that. Airborne means that the pathogen can survive for some time in extremely small droplets. If you are sitting right next to someone with a non-airborne pathogen you have two problems. First, you will be reached by bigger droplets. Second, virus in very small droplets will only be in that condition very briefly before reaching you, and wont have sufficient time to die.
http://www.pathogenperspectives.com/2014/08/debunking-airbor...