They still do unfortunately, which is why we need to balance it out by giving the loser a chance to have an advantage.
Again, switch the word Ganondorf with Link, Game & Watch, Marth, etc. The point was that FD, this "fair and balanced stage", for the Ice Climbers is the equivalent of Rainbow Cruise to MK.
We're not gonna have sets start off with MK vs Ganondorf on Rainbow Cruise and then have the next two matchs go on Smashville and FD. Counterpicking is the attempt to be fair.
They're not called neutrals - they're called starters specifically because a neutral stage simply does not exist in Brawl.
Starters need to be thought of as "the least offensive counterpicks", NOT as "the closest thing to neutrals". There's a key difference.
Many consider FD one of MK's worst stages.