They use basically identical cameras in Cuba, India, and I am sure many other places too. Box camera does indeed seem to be a misnomer, since these are really more akin to a tin type camera than to a box camera. The images I have seen elsewhere seem to show old Kodak folders as being the basis for the picture taking part of the machine, certainly there are plenty of 116 and 122 folders out there for cheap that could easily be adapted to this sort of thing.

Here's a sort of "professional" outfit from the 1910s: