Why the difference? PS2 homebrew is older and more mature. The fan translation group "Umi Releases" and "PS2 Homebrew" produced a patch for the PS2 version that translates almost all story text using a custom font.
Despite its massive popularity in Japan, the series has had a rocky road in the West. While the first Sengoku Basara (renamed Devil Kings ) and Sengoku Basara: Samurai Heroes (for PS3 and Wii) received official English releases, the definitive entry in the PS2/Wii era— (known in Japan as Sengoku Basara 2 Eiyuu Gaiden )—was never officially translated. sengoku basara 2 heroes wii english patch
If you own a Steam Deck or a PC, play the PS2 version with the complete English translation for the story. If you are a Wii purist who cares only about gameplay and wants native widescreen, use the Wii English menu patch —just be prepared to enjoy the cutscenes purely for their visual spectacle and not their dialogue. Why the difference