The astronauts are both veterans and one would assume they understand that this was not only a prototype ship but a prototype engine. Falcon has 50+ successful flights over four years since its most recent failure.
I get cynical about people sometimes, but I have to believe the average person can understand the difference between a bleeding edge test and the launch of a proven system. They don't stop driving when someone dies trying to break the land speed record. I don't see a PR problem.
Hopefully they're not phased by this.