1) When The Phantom Knights of Break Sword's Ignition Effect resolves, your opponent banishes 2 cards from their GY instead of the targeted Thunder Dragon Titan being destroyed, but the other targeted card is destroyed as usual.

2) The text "(This card is NOT treated as a Trap Card.)" also indicates that The Phantom Knights of Shade Brigandine the monster is treated as a different card from The Phantom Knights of Shade Brigandine the Trap Card.

When Thunder Dragon Titan's Quick Effect resolves, the targeted card is no longer on the field, so this effect does not resolve properly. The Phantom Knights of Shade Brigandine the monster is not destroyed.