Poor nations can benefit from Bitcoin if they invest in it. Countries like El Salvador and Bhutan have invested massively in Bitcoin and I guess that they are now in profit.
They can make profit if they invest in bitcoin but it will not help them improve their economy nor can it help them escape poverty and become a rich country. To improve a country's economy, we need many solutions and a combination of many different factors, not just relying on a volatile and uncertain asset like bitcoin.
Bitcoin could also help nations and business owners to avoid the exuberant fees paid to middleman during international trade. Beside these two benefits I don't know if Bitcoin can reduce poverty in a nation. People from poor countries are more interested to survive, hence many of them might not consider Bitcoin investment.
But you also need to pay attention to the volatility of bitcoin, the volatility of bitcoin is unpredictable and you will suffer heavy losses if during the transfer, bitcoin suddenly drops 5-10%.
Honestly, I don't see bitcoin bringing much benefit or having a positive impact in improving the economy for poor countries. It is just a volatile currency or investment, it cannot create jobs, cannot attract foreign investment into the country...how can it improve the national economy when it cannot solve the fundamental problems of the country?