I feel like the fact that the BBS version is more intense than the KH2 version is due to the fact that the Lingering Will's rage was more fresh and raw at this point, since Terra had literally just lost his body, but by KH2, that rage has had time to cool down, but it still festers. It's still there, just more mature and less desperate, since Terra has had over a decade to reflect on what happened to him
Ah yes, using the keyblade as a boxing glove, bow and arrow, attack/magic lock, Key vehicle, giga cannon, and then going full berserk with his armor glowing red when reaching 40% hp left.. very mature