Another thing -
When we apply the front brake and the forks twist, does not that twist bind and inhibit the forks' action?
I'd think so.
Twisted forks likely have more friction than parallel forks. It would follow that braced forks have less twist and therefore less friction, and perhaps better action.
To say that the brace might bind them up really is to say that the brace is mis-designed or mis-installed, not that the idea of the brace is mistaken.