I've heard this statistic too but do you have a better source? The one you provided only has total injuries, not per 1000 or per capita.
Here's a chart of the top 10 professions per 100,000 FTE (basically, per capita): https://www.bls.gov/charts/census-of-fatal-occupational-inju...
Here's a chart of the top 10 professions per 100,000 FTE (basically, per capita): https://www.bls.gov/charts/census-of-fatal-occupational-inju...