Hi! Author here. The first test machines for Takeru were released in 1995. And it doesn't sound like the FDS kiosks had an internet connection from what I can find.
Thank you for the link. It was a very interesting read!
Good to know. Presumably you meant 1985. Yeah, the previous commenter also said there was no Internet for the FDS Disk Writers. (Though the NintendoLife article compares the Disk Writer Kiosks themselves with "servers", it is not the same as the Takeru.)