This is widely regarded as Finn’s theme and it was originally listed as such, It’s used over his scenes in a slow or fast pitch in The Force Awakens : https://youtu.be/cHJrfB7VquM?t=78
It’s used as his theme in battlefront aswell,
Oh, that’s Poe Dameron’s theme.
The Battlefront II thing is probably because Poe’s already represented by the March of the Resistance in the game.
Finn has that theme when Poe isn’t around aswell though,