477 untested patients is absolutely a huge number in the context of this trial: only 170 symptomatic infection were confirmed over the entire trial (the only endpoint). Even if the missed positives were evenly distributed between the two arms of the trial, the relative efficacy would be skewed by the additional cases.
For example, if we assume all of the untested people were actually positive (not unreasonable, they were symptomatic), the reported efficacy would drop by ~30%: instead of 8 confirmed cases in the vax arm vs 162 in the control arm (95.2%), it would become 218 vs. 429 (66.3%). Not a trivial difference.