Which versions of BN3-6 are the best competitively?

I was thinking of how unbalanced BN3: Blue and BN3: White were. And mostly due to FoldrBak, a Giga Chip so good that official Capcom tournaments had to restrict its usage to once a fight. FoldrBak was only in Blue, so White players didn't get such a busted chip. But is Blue superior when FoldrBak is removed from the equation?

And since my BN4 and BN5 experience are lacking and my BN6 experience a long time ago... Do BN4-6 have anything that makes the other a competitively weaker choice? All I can think of is Search Soul being able to Shuffle Chips for easier PAs.