And yet, there is little difference between anecdotal evidence and witness testimony, the basis of our legal systems and on which people's lives often hang in the balance.
Further, based on the standard you have applied, every 911 call could be dismissed by a skeptical operator as anecdotal, thus giving that 911 operator/dispatcher, in their own absolute and self-assigned authority, cause to not take action on any 911 call, because they believe witness reports to be so flawed that they can be universally ignored.
Life's a lot easier if one has at least some faith in people. One cannot, with certitude say that all witnesses are flawed without acknowledging that their own opinions may be equally flawed. To maintain that one is not flawed, but everyone else is, puts one in the realm of another scientific discipline, psychology, and psychologists have a standing diagnosis for such a condition.