That is not higher pay, which is generally considered a rate($X/hrs workes). They are simply working more in your scenario
We shouldn't stop the comparison of pay at the moment a person is injured. These are people, they don't stop existing the moment they aren't useful to a company. And an injury does effectively reduce their pay by preventing them from working, or forcing them to change careers.
This is a safety device, and no productivity improvements have been shown yet. So you wouldn't expect an outright increase in hourly wages. But an increase in working years without injury is a benefit to workers, and does increase their lifetime earnings.