Your response indicates that you are confused about the timeline implied by “Until they started taking on more acute cases in 2015, they'd have seen about one infant death each every two years” means.
Up until mid way through 2015 COCH NNU was taking in relatively low acuity babies, with the sicker and more premature ones either not being born there or being transferred shortly after birth. At that time COCH was operating within its competence, and could expect - because of the lower acuity babies and because caring for them was within its skill set. During this time you are right that it “Sounds like they were pretty good at keeping babies from dying actually.”
After mid 2015 they began taking on higher acuity babies.
These babies are at higher risk of death and serious complications simply because of their acuity, so even in a fully competent, well equipped and safe unit there would be more sad outcomes.
The lack of competence (no neonatologists, infrequent consultant ward rounds), and questionable infection control because of their poor environment - as evidenced by the RCPCH review - will have contributed to the COCH death rate being higher than the national average average.
So you can see that your “And at the same time you're trying to argue it's within the bounds of normal for one nurse to see, what 13 deaths in a year was it?” is incorrect? This was not “at the same time” at all - it was after the unit took on all those higher acuity babies that they weren’t equipped to care for. The death rate wasn’t normal (as in close to the national average), but it was not a massive outlier.
And much later, in 2016, the unit downgraded, and got its act together, and the death rates improved again. Funny, that.
And finally (again, because I know you’ll just start jeering again) this is not “proof of innocence” but it sure as hell isn’t proof of guilt beyond reasonable doubt.