Because if the vaccine wears off quickly. Then, the issue of the second person it moot. Vaccinating them becomes a net 0: Person A that got the first vaccine is losing their immunity while second person is gaining immunity.
However, assuming the pharmaceutical companies can & are massively ramping up production, and given that the logistics network for distributing & administering the shot is improving, We will hopefully get to the point when all of the above is completely irrelevant because there will be ample supply and ample bandwidth to administer the dosesto everyone.
I think in the short term we also get a little bit of a boost from the folks who have already been infected. AFAIK, their resistance may not last long-- as little as 6 months perhaps. But in terms of getting spread rates under control, and assuming twice as many people have been infected as the official record shows (which might be conservative, it's just educated guess) Then that means in addition to those getting vaccinated, We have about 55million formerly infected people that should have some level of resistance.
Anyway, thanks for an interesting conversation.
If you try to give the person a second dose, that means you're causing another person to be walking around completely unprotected.