It is a Japanese transmission, it left the factory in Japan with Japanese fluid in it (most all of those are sourced from Eneos or Idemitsu). Ineos is Nippon Oil's fluid brand, and is the largest Japanese oil refiner, followed by Idemitsu Kosan.
The Idemitsu "Type J" (which is the part number referenced above) is their Jatco (the "J') compatible ATF, and is probably what they factory filled it with anyway.
It is what we use in all non-CVT Jatco transmissions here, and it has never been a problem.
Fuchs is a German company, and their Pentosin brand fluids are great for German transmissions. Febi (short for Ferdinand Bilstein) is essentially just a catalog company and simply labels things they do not make. Most any Febi ATF is going to be more of a generic type, and probably not "bad" but certainly not anything special and the Idemitsu stuff is reasonably priced so no reason to overthink it.