From this study, try to imagine whether people who don't have money can get involved in investing. Then try to examine through several surveys what poor people think? talk about fulfilling their needs or have they ever thought about prioritizing investment first?
Eliminating poverty in its entirety won't be possible, but since the current system is built such that those with money and power can extract wealth from the poor, BTC can offer the poor an alternative to save their wealth in a place that makes extraction harder, though not impossible through secondary ways. If a poorer person is saving in BTC and needs to use it at some point to make an investment (perhaps pursuing a business idea), those BTC will someone be reinjected into the bad system. But it does give people an option to protect their wealth from being taken away in some of the ways the current system is destined to allow for. Talking about one architecture based on algorithms as the ultimate savior goes too far. But considering BTC as one factor of many to fight poverty is certainly a comprehensible consideration.