I disagree very much. Throwing bureaucracy and money at problems does not decrease risk. NASA has killed several astronauts: Challenger (bad internal processes and "go-fever"), Columbia (bad technical concept and design), and Apollo 1. Then there are those near-misses with Apollo 13 and Gemini 8 [1], which could have easily resulted in the loss of the crew. Money and bureaucracy also don't protect from stupid mistakes, as seen in the Mars Climate Orbiter case (output data in wrong units) [2].
Private companies also have a strong incentive to minimize risk to human life, due to all the bad PR and losses in revenue that brings.
[1] https://en.wikipedia.org/wiki/Gemini_8#Emergency [2] https://en.wikipedia.org/wiki/Mars_Climate_Orbiter