They had those in World War II. Their designation was CLAA (Light Cruiser Anti-Aircraft).
The Atlanta class light cruiser packed 16 x 5" DP guns, along with some secondary 40mm and 20mm mounts.
The problem with a CLAA was that they basically were overgrown destroyers, lacking higher caliber main batteries. Hence the loss of two of the Atlanta class, USS Atlanta and USS Juneau in the Solomons when forced to engage in surface actions.
A CLAA in Wing Commander would have the same limitations as the ocean-bound version. Without powerful main batteries, the CLAA would be vulnerable to attack from bigger capships, which is significant if caught alone or if the group that the CLAA was in was destroyed or the like.
Also, the cost. For the cost of retrofitting or building an entire cruiser, a fair number of ships could be refitted with both extra turrets, and numerous point defense weapons. For example, the early-war US carriers (Enterprise, Saratoga, Essex) were refitted with additional anti-aircraft mounts later on in the war, instead of the construction of additional CLAA's, which would have taken longer and costed a lot more. And for that matter, later war heavy cruisers such as the Baltimore class carried a number of turreted dual purpose twin 5" guns, 12 of them in fact.
So, given some down time, one could refit a Concordia with additional mountings, improve the targeting, replace older weapons with more powerful and modern weapons, replace single tube anti-missile systems with gatling versions, give the ship a good coat of paint, and the like for a fraction of the cost of a CLAA.
Good idea, but too specialized for actual practice in battle. A better improvement to the anti-spacecraft capability of ships is refitting or designing them with additional turret mounts and such.