Interesting, I did not know that it was an economic zone with a special status:
Honduran special economic zone adopts Bitcoin as legal tenderI don't see how bitcoin could do that, at least not directly.
The only indirect effect I could see, and that's just a possibility, is if bitcoin could help the economy of these countries, attract foreign investors, etc. and the improvement of economy could help reduce the poverty.
When I read this I thought about the issue of remittances, often cited by Bukele, he says that they save a lot compared to the shipments that were made through Moneygram, etc., but the article linked by the OP cites other factors.
1) Bitcoin prevents inflation, which has historically been very high in South American countries, many of them ending up de facto dollarized or on the black market.
2) It prevents discrimination towards de unbanked and the poor.
3) It prevents corruption, because Bitcoin transactions cannot be censored, but this is only true if users use non-custodial wallets.