From my point of view, not all homeless people were born into that life. They could have had a decent enough life before falling into homelessness, and therefore, have had a wallet existing already. With that said, they could prefer to receive Bitcoin as a donation, if that country actively uses cryptocurrencies.

Poverty is a very real problem in the world, so, if you'd be interested, there is a South African initiative called UBU that I've heard of through a family friend who lives there, which basically give a set amount of tokens to citizens in place of social grants, which can only be exchanged fro certain products; alcohol and drugs being excluded from that list. Here is a link to a site that you can get more info on UBU from.

https://www.projectubu.com/