I'm about 50-50 in-between you folks.
> Assuming that there is avaliable internet for your internet connected laptop
You don't need internet to have a communication tool. Mesh networks can actually work pretty well. OLPC had mesh networks. And they don't need to eventually reach the internet, either. Being able to send a text message to your neighbor, even 100 yards away, could have been pretty powerful. Connect a few of those together in a mesh, and you might be able to communicate MILES away. I don't actually know if the OLPC was any good at this, but it was built out of pieces that could have enabled it.
> Assuming there is available electricity for said laptop
You don't need electricity for a hand-crank laptop. OLPC had hand-crank power.
The fact that you bring up these factually incorrect arguments makes me think you don't actually know anything about OLPC. It's worth educating yourself, they made some interesting and good choices. They also made, in my opinion, some TERRIBLE choices.
Oh, and you said "lighting." Since the OLPC was hand-crank powered, it was often the brightest light source available to the families that got them.
...and on to your next point...
I think that OLPC computers COULD HAVE HAD instructional videos, like Khan Academy, in how to improve water quality, preserve food, deal with pests and diseases and infections and wounds, reproductive health, building good shelters, identifying cloud patterns. Kind of like a US Army Field Survival Guide. All tailored to the local language and culture.
In that respect, it could have been like air-dropping a Peace Corps volunteer with engineering know-how, into a community.
Sadly, the OLPC project didn't address those problems.