A typical example is cooking fire in Africa. This is a major cause of deforestation. The introduction of cheap e-methane is the best solution in sight. When off-grid, cooking with electricity does not make sense.
The 3rd world is much better off switching to solar. With an induction hob you can probably get away with 1000 Wh / day. A 200W panel, a 1000Wh battery, a 1500W inverter and a 1500W hob would cost around $500 and last 20 years. It can also keep a cell phone charged or used for refigeration instead or ...
OTOH, a propane burner might cost $20, but then you'll be spending $10/month on propane, and are super vulnerable to being cut off from your source.
Much of the extant Third World is in its Third World-ey condition because of abysmal governance. That is usually accompanied by infestation of power and grid companies by grandnephews of top politicians etc.; those companies handle a lot of money, are highly centralized, and are thus a prime target for graft.
The bizarre story of South African ESKOM and poisoning of the director who was asked to reduce corruption comes to mind. [0]
[0] https://yris.yira.org/interviews/by-not-speaking-out-when-so...
A country with a well-functioning grid is probably already on its way from poverty.
And in the end, it only solves cooking. Electrification solves many more problems at once, and notably refrigeration.