FactsForLife is included, doesn't that count as a public health tool? Not sure what you mean specifically, but this appears to at least educate around a lot of health topics. http://www.factsforlifeglobal.org/
I can see the value of data collection too though, but I think for a person accessing the internet for the first time, they would be more interested in gaining information than sending data about themselves into the void.
Re:Introducing the Internet.org App
by andre_lesa on Thursday July 31, 2014 @09:57AM
(#8114092)
It also has Zambia ureport (zambiaureport.org), The ureport application itself is an SMS Counselling platform+polling+campaigning. What facebook is making available are the Frequently Asked Questions and answers.
...Am the developer on Zambia U-Report if anyone has any questions.
I'm bummed that there aren't any public health tools included in this app. Hopefully they'll consider adding something like that in the future.
[1] Malaria affects almost 1/3 of the country's population annually: http://www.unicef.org/zambia/5109_8454.html