Oh yeah! For me that'd me like Godzilla waking up angry and smashing Tokyo, and when he can't be stopped Anguirus shows up and is like "Dude calm down!" and the fighting happens and then Godzilla gets beat to try and knock some sense into him.
I like to play Godzilla: Destroy All Monsters Melee, and Anguirus is my favorite character to play next to Ghidora or Godzilla himaelf. It's too bad that Mothra's relegated to being an assist powerup.