Have to realize, the bullseye arc is so narrow if you are just outside of it he actually cant get you back in it anyway.
A broll would move you to the opposite side of his base, but still out of bullseye arc
Depending on positions, a bank boost might get it. But more likely it'll do the same thing of the bullseye just barely missed.
Being PS10 will only help it get the bullseye in the sense that you have to predicatively dodge it. It wont help him actually line it up any better more often than not.