That's fine and definitely up to you to decide. Although I don't really agree with your example, as your body manages the pain in biologically different ways when giving birth.
As an anecdote, my wife gave birth 3 times, never in a hospital or anesthesia. She doesn't remember the pain.
I've given birth twice, and I can tell you that my body manages the pain in ways that do not feel the slightest bit different. Your wife is very lucky.
People don't remember pain after it's over. Well they do, but not the literal sensations. They do certainly experience it in the moment though.