the issue with DEMs is that they are very low risk, low reward missiles designed to punch down. And missiles designed to punch down collide with the whole philosophy of sustainable warfare non-missile weapons propagate.
This translates to them being good at taking down smaller ships, cause they are uncounterable. But being awful at everything else. And the exception to this, dragon, has very little ammo, cause otherwise it would be really strong. The solution???
Giving the ability for the missile to switch targets after killing one would be a neat party trick, but I don't really think it would solve the missiles' problems. Maybe they should just be adapted to serve more conventional functions. Namely, punching up. Missiles are always about punching up or violently finishing off someone. By punching up.
Make gorgons have 2 projectiles. Instead of like 10 or whatever. Each projectile however shoots for an exceptionally long time and has a lot of health. And the beam does high explosive damage, that way it will be a threat to larger ships, without excessively bullying petty frigates with petty flux bases.
Gazer? Halve its range, make it deal energy damage instead of kinetic, but maybe it does hard flux damage. Making it kinda work like sabots, rather than graviton beam spam that gets hard countered by safety overrides. And remove the pushing effect... Keep five missiles for visual consistency.
Dragon? Maybe Dragon should do kinetic damage, dumping 10k kinetic damage would be a great option, and would justify the really low ammo count. It would also make it extremely useful against remnants. And have a more tactical role. Rather than just straight up competing against Cyclone for the role of the nuke gun. But eh, that last idea is kinda stupid...
Also, if we do something like that, I recommend shifting all the beams colours, keeping the engine and targeting laser style. Gorgon becoming red beam with green engine and targeting lasers, gazer becoming green beam with blue ones, and Dragon becoming blue beam with red ones... Would be kinda cool... Never mind, this probably sounded like nonsense to everyone.