Burden of proof is on you! Why should recovered people be treated differently from vaccinated? Show that the elevated risk somehow associated with naturally derived antibodies is worth depriving livelihood. What marginal societal reward do you expect from this treatment?
2.34 improvement is the mean value on a marginal improvement.
If 999/1000 of vaccinated people were uninfected while only 998/1000 unvaccinated (but recovered) people were uninfected that would amount to that 2x improvement.
When you look at the error bars on those numbers (due to the ridiculously low statistics of the study) the conclusion becomes even more suspect.
Frankly a study involving less than a thousand participants is pretty poor justification to strip others of their rights.