Yeah, a good example is how the injury rate skyrocketed when seatbelts were introduced. Anti-seatbelt people (yes, they exist just like antivaxxers and anti maskers do today) used this to point out that seatbelts were harmful.

Injury rates skyrocketed because fatality rates plummeted. People who would have died were now only injured. But the anti-seatbelters conveniently ignored that second half of the statistic, and only looked at the increased injury rates.