My question is about the Correlates of protection against symptomatic and asymptomatic SARS-CoV-2 infection paper from the developers of the ChAdOx1/Vaxzevria vaccine. The paper establishes correlates of vaccine protection: biomarker levels that are predictive of vaccine efficacy (VE) against symptomatic Covid-19. The paper states
[A] new vaccine ... which produces antibody responses that are above the correlate values reported here in at least 50% of participants ... might be expected to have similar efficacy against the clinical endpoints used in our UK trial, and higher efficacy against more severe endpoints.
Question: How supported is this conclusion by the results in the paper?
Details: A case was defined as Covid-19 with at least one of the primary symptoms: fever $\geq 37.8C$; cough; shortness of breath; anosmia; or ageusia. The median biomarker levels were estimated for the following types of VE:
- any symptom (out of 5)
- 3+ symptoms (out of 5)
- symptom(s) including shortness of breath
- symptom(s) excluding shortness of breath
The table below, based on Tables 2 and S4 of the paper, shows the levels with 95% CI vs VE in % for the IgG biomarker (the other biomarkers were similar). A CI bound could not be computed (NC) if it was outside the assay range.

I have the following concerns:
- The 28 cases with shortness of breath had the usual pattern: higher biomarker levels (=stronger immune response) implied higher efficacy. However, this did not hold for the 24 cases without shortness of breath (the actual levels were not given).
- No biomarker correlation was established for 16 confirmed Covid-19 cases with non-primary symptoms.
- The CIs were sometimes not computed; extremely wide, eg 454 (249, 10508); or excluded the estimate, eg 13 (73, 153).
- For VE of 60%, 70% and 80%, higher biomarkers were required to protect against 3+ symptoms than against 1+. This is counter-intuitive, as 3+ is a subset of 1+ cases. Also, assuming that a case with 3+ symptoms is more severe than with 1 or 2, you'd expect that lower biomarkers would protect against the former. Indeed, efficacy against hospitalisation and death is usually higher than against symptomatic covid. (There could be some explanations, e.g. one symptom is so severe that the patient doesn't feel other symptoms; or 3 mildest symptoms occur together. Still, shouldn't the paper address this?)
How valid are these concerns, and what should be made out of the paper conclusions?
