Space travel is magnitudes of magnitudes deadlier than cars. A large chunk of astronaut training is basically "you're dead in 5 seconds, your actions".
The current statistical fatality rate for astronauts and cosmonauts is 3.2 percent. Lets give Blue Origin the benefit of newer tech and learning from previous mistakes and say they're twice as safe as any other spacecraft. That's still a 1.6% chance you'll die taking a flight in it.
Does that rate also hold for flights using the same model or even the same vehicle as tested in previous flights? Shouldn't testing bring the rate down?
Sure, but the average car trip doesn't span millions of miles and last for months. If you compare deaths per passenger-mile, space travel is safer than cars (but more dangerous than airplanes).
Because Shatt's space trip was relatively short and quick, he's fairly safe if you extrapolate from the statistics. Of course that extrapolation might not be reasonable for various reasons:
* There's only been one deadly space incident in the last 30 years, so we don't have a very good sample size
* Not all passenger-miles are equally dangerous. Leaving and returning Earth are the most dangerous parts of space travel. However by not going to orbit, Shatt didn't have to leave Earth as quickly, nor did he have worry as much about a speedy reentry.
* Most of those passenger-miles were done on vehicles that have a launch heritage than New Shepard
Read "An Astronaut's Guide to Living on Earth"