> Does it matter?
Yes. For instance: does it matter if someone makes a convincing argument to lure you into a trap? Focusing on the argument in isolation can make you a fool. Motives matter.
> Most policies aimed at helping poor people usually are usually either counterproductive or poorly done.
Eh, I'm skeptical. That's the kind of statement usually made by people who are philosophically opposed to helping poor people or to government action in general.
And even if (say) historical anti-poverty programs did not help the poor, that's irrelevant to mitigations to make a vaccine passport policy work better for poor people.