Yes this is one of those situations where responsible employers report more minor injuries, and then it is used against them by people who don't know better.

Guess what... the meatpacking plant in Iowa with 98% undocumented immigrants is not reporting all their injuries because they are threatening their workers with deportation.

For those that think this is an exaggeration or joke, it's actually not. I've definitely worked for large companies doing electrical work whereby it's standard to report every single thing that requires a Band-Aid. Filling out the paperwork is so obnoxious that I'd literally claim I have electrical tape wrapped around my fingers as a preventative measure. Some companies just encourage it more. Strong argument could be made I was in the wrong because a staph infection in one of those cuts could lead to me having to take time off and trying to explain why I didn't report the small cut.

FWIW, no they aren't.