You seem to have glossed right over my use of the word "temporary". Does it suck that my tibia is fractured? Yeah. It's going to heal though. I sure as hell would not rather lose my foot for the rest of my life than wait for this to heal, just the same as I would rather deal with some pain now than risk a life-altering addiction to opioids.
So to answer your hypothetical, yes, I absolutely would rather deal with some temporary pain and get on with my life in another week than lose a body part for the rest of my life. Who would make the other choice?!
While I may have agreed with this years ago, I'm pretty sure the research shows otherwise.
Also, I'm not sure why pain is considered less important than other medical outcomes. For example, would you rather live in constant pain or lose a pinkie finger? I'd lose the finger and get on with my life.