Yup! That’s exactly why they initially list every bad outcome before trying to rule it in/out.
For example, you might be tempted to dismiss deaths due to traffic accidents as being obviously unrelated to a drug. However, if there were a lot of them, it would be prudent to check for potential effects on reaction times or judgement.
My grandmother died of a cerebral hemorrhage. It wasn't because of the cholesterol medication she took. It was because she was on blood thinners, was old, and tripped and hit her head on the dresser while preparing for church.