With top characters being more equal, attacking first becomes a disadvantage. The opponent knows what they have to do to win. Especially if they go with a defensive strategy of posting weak to middl...
There is no way to do what you are asking currently.
However, you could look at it from the other side; going first and doing well could put the pressure on your opponent to match your efficiency on banners.
Seems a little bit like who receives the ball first in football (American)- people will have their preferences but theres no real advantage.