...Luckily, Trek never got to abuse it the way the "camera pans down to reveal a planet, then a ship or two" opening shot was abused in SW.
FWIW, the long neck conforms to the idea of reducing your silhouette in directions that count. A sphere has the lowest silhouette for a given volume when all directions are equal, but something spindly like the Klingon or Vulcan designs really is best for the Trek sort of combat where ships fly forward, then turn to change direction. And it's rather thrilling to realize that the Vulcan ringships are the more effective and deadlier application of this...
But as soon as the enemy gets a side, dorsal, or ventral shot in at you, you're screwed.
In an era of computer targeting systems and sensors, does a smaller profile really offer a more difficult target?