Evans compared death rates on Letby and non-Letby shifts:
"There were 15 deaths during Letby’s 163 shifts. There were 2 deaths during the (798 – 163) 635 shifts when she was not on duty."
First, his numbers are off. There were 13 deaths and she was on duty for 10 of 13. So, 10 on her shifts and 3 on others. Since his numerators are off, it's hard to trust his denominators (163 and 635), but let's say they're right.
Evans assumes you'd expect the same rate of deaths per shift for Letby and non-Letby shifts if she's innocent. But that's only true if the two sets of shifts don't differ in any ways that affect the death rate. Evans does nothing to check if they do. E.g. her shifts had 3 indisputably natural deaths (ones she wasn't charged with), which is 4x the rate in non-Letby shifts (3/163 vs 3/635). If you take Evans' original numbers it'd be 15x (8/163 vs 2/635). If there were no relevant group differences, you'd expect no difference in natural death rate.
Did Letby/non-Letby shifts have the same fraction of night shifts (when more babies die)? If she worked more nights than average, then non-Letby shifts will have correspondingly fewer nights, enhancing the difference.
Did Letby/non-Letby shifts have the same fraction of shifts with a high-risk baby? E.g. we know her shifts had several multiplets -- what fraction of non-Letby shifts did? Were the distributions of birth weights, APGAR scores, prematurity levels, and other known risk factors the same in the two groups?
Did Letby/non-Letby shifts have similar staff coverage with a similar mix of experience?
These are basic questions, not nitpicks. You have to compare like with like. Group differences in death rate will reflect all group differences. You can't say the difference is due to Letby unless she was the only difference.