I was specifically disputing the analogy with providing goods like shoes and good to impoverished communities.
Well cash injection by definition create inflation. However it could be a neutral effect if, for instance, you get rid of unemployment benefits at the same time.
No. Price increases, by definition, create inflation.
Cash injections CAN lead to inflation as an effect, but this is not a tautology (i.e. by definition).
So it will lead to short-term inflation, and without the long-term investments in production, that inflation will continue for as long as the injections continue.
As the cash injections aren't universal, those who receive it will benefit, while the ones who don't will see their purchasing power drop significantly, and their lives worsen.