Is this trolling or serious? You claim the TEC is built around short-range forward-facing firepower, that there's no long range missile ships, no broadside cruisers, and no (utility) support ships.
What of the Javelis missile cruiser? It's a long a range missile cruiser akin to the Vasari Kanrak Assailant, or perhaps the Advent Exoria Illuminator. You also have the Ogrov Torpedo Cruiser, but that's a fairly niche ship. And of course there's the Marza Dreadnought whose Missile Barrage just has insane range! The TEC aren't missing out on the missile front!
Likewise the TEC isn't devoid of utility ships - that's the Hoshiko Robotics Cruiser's very role! The Hoshiko repairs HP and, when upgraded, resupplies antimatter - something the TEC often run short of. Then there's the Dunov Battlecruiser which offers shield recharges (Energy Transfer), EMP Charge (shield and antimatter depletion of foes), slows enemies (Magnetic Singularity) and amplies these powers via Overcharge. There's also the Akkan Battlecruiser which allows you to colonise planets, increase reload speed to surrounding friendly ships, acts as a trade power, and can prevent combat in a radius of 18,000!
While there's no Napoleonic era broadside cruisers, it's not really a viable design. It doesn't work for any chase or escape scenario, it requires ships stand and shoot at one another. It'd also require vessels with either half the firepower of their foes - with the total firepower split between sides, or twice the firepower of foes - charge into the middle of the enemy them shoot both directions. Both would be grossly unbalanced in a cruiser. The Akkan Battlecruiser actually does have this design, though it's a capital ship rather than a cruiser so I'm not sure it counts for your purposes. It has (or had?) the lightest armament of any capital ship in the game, and worse, this firepower was split between port and starboard sides, with the default behaviour having the ship turn to fire the port side at the enemy. The Advent Progenitor Mothership is perhaps roughly comparable, a colonisation and support ship - it offers AoE shield regeneration, boosts Unity - possibly useful early game but dangerous to rely on lest it be destroyed, and resurrection of corvettes, frigates, and cruisers.
The Aeria-class drone host is the Advent carrier cruiser. Not sure Why you're talking about an Advent carrier in a criticism of TEC ships. The TEC has the Percheron Carrier Cruiser. A TEC fighter squadron can do more damage than an Advent squadron, though the Advent bomber squadron is better than its TEC counterparts. On the other hand the TEC uses missiles at range rather than beams at close range so ...?
The reality is the TEC relies on autocannons, gauss cannons, and missiles, with missiles being least commonly found on vessels.