However once you are sure that the deaths are deliberate (and I know this is disputed by her supporters) then it’s absolutely relevant who is there at the time.
And the problem with this is that the evidence about who was there is being used to decide if the deaths are deliberate! See the baby C case I referred to earlier for the CPS's work here.
You're also missing the broader context.
The police initially commissioned a statistical analysis of the rota, and then told the professor to stop her work.
The CPS presented the raw data (ie, the rota) to the jury, without any statistical analysis of what it meant. This is likely to be a deliberate choice from the CPS - they have had issues before with appeals being won because they used a statistical analysis being found unsafe.
Much better for them to just give the jury the raw data, and allow them to do their own statistical analysis.
A travesty for justice though, as the statistical conclusions drawn by a layperson without professional guidance are going to be complete garbage. A layperson (or a hospital consultant...) would look at the rota and think it was a clear indication of guilt, a professor of statistics would know that it is worthless for showing anything other than that Lucy was on duty when Lucy was on duty.