Yuri Gagarin's first flight was in 1961, 8 years after Stalin's death. The purges have long stopped. The constant hunt for wreckers did, too. Yes, there was still political repression, but it was for political action, not "Oh, the project went up in smoke, we're sending the entire team to Siberia."
There was both a disregard, and a regard for safety in the cosmonaut program. Disregard because of heavy political pressure on deadlines, regard because it looked really bad for a cosmonaut to die. The track record that resulted was... Mixed. Could have been much better, but not a complete horror show.
After the failure of Soyuz-11, for instance, the program was grounded for 2 years, the Soyuz capsule was redesigned, and the number of crew in it was reduced, for safety reasons.
For a short time is nothing to talk about during emergency when it comes from the back (eyballs in) and you are protected from the whiplash.
https://en.wikipedia.org/wiki/File:Human_linear_acceleration...
https://www.blueorigin.com/new-shepard > Accelerating at more than 3 Gs to faster than Mach 3...
I'd call it a reasonable spec, though it does seem that each passenger should be medically cleared and, ideally, physically tested beforehand.