Ethernet is not necessary. The webserver can talk to it's IP router with any protocol that they both implement. Just because everyone everywhere uses ethernet doesn't mean that you have to!
But the cartridge claims to have IIS and Apache on it. Neither of those can run in 128 bytes.
But this pretty well isn't real. There's no way you could drive a workable Ethernet connection just from an RF output. Also the "screenshot" is completely fake, the 2600 has nowhere near enough video objects to output all of that.
[0]: https://en.wikipedia.org/wiki/Sprite_multiplexing
[1]: https://scarybeastsecurity.blogspot.com/2020/07/turning-400-...
Source: I know the 2600 well, I wrote and published a homebrew game: http://dos486.com/atari/