It’s definitely not Samurai World. Well, if they want to be consistent/logical. There was, however, a logo that used the letters S and W. Samurai would still not be appropriate, unless the only robots included in that world were samurais, which would get a bit boring. Shogun World is the appropriate name, as samurais were prevalent in the Shogunate period of Japanese history. East World could work as well, though it would have to be far more expansive.
And yes, referrals to it as Samurai World are incredibly annoying.