“If laws are automatically bad because fraudulent convictions are a possibility then all laws are a “baaaad idea”.”
No, it’s not the law people are talking about, it’s the punishment. A lesser punishment can be reversed if the conviction is false, but the death penalty is permanent. That’s why a lot of people are wary of instituting it for offenses where false accusations are fairly common and the evidence is often lacking.
There are no laws where false accusations are not common.