While the statisticians are right to be cautious about clusters of deaths => serial killer, we also have to remember that a 9 month trial presented lots of evidence to a jury, they deliberated for over a week, and returned seven guilty verdicts. Unless you were also sitting at that trial or have read every line of court transcript, it would be very unwise to start claiming there's a miscarriage of justice.
When people have studied these types of investigations, and has the evidence re-evaluated by unbiased investigators, the results are usually that nothing untoward occurred, or that deaths are better explained by systemic failures rather than the actions of specific individuals.
There’s a good reason why we don’t let police go on fishing expeditions. Medical investigations, frequently initiated by untrained administrators, and performed by individuals within a hospital with no formal training in performing unbiased investigations, nor given enough to perform proper investigations, simply don’t hold up to the standards we would expect from a criminal investigation.
None of this is to say that the Letby verdict is unsafe, but it wouldn’t be the first time a medical investigation with lots of evidence resulted in an awful miscarriage of justice.