No. I use the girl sprite on my White to help distinguish from the boy on my main game, my Black. I've got all my EVed guys on Black, all my Trade stuff on white.
When I reset my Pearl a while back, which became my trade/ARed game for G4, I picked the girl to see if it had a different story... at all. Pretty much not.
But it's very easy to tell which game I'm working on at a moment's notice this way.