Morally, free communication is a basic human right.
Practically, having a bunch of churches/hotels attacked by an easily-identifiable group, followed by shutting off communications tools, would probably turn people from "death squad curious" into hardcore whatever the local version of hacking your enemies apart with a machete is (parang?). A reasonable but scared person might assume the attacks are of a larger scale, or supported or condoned by the government, or otherwise an ongoing event, rather than a tragic event which happened and is now over and could be left to policy solutions. I know if 9/11 or something like that had happened and then the USG had immediately tried to institute a communications blackout (except for state controlled broadcast media), a lot of people I know would be very on-edge.