I enjoy both-- the Odyssey can take more of a beating, the Vesta can spike more damage... but I wanted to disagree about the Aux Cannons. They're not useless-- but they're not as useful as they seem.
They're fore weapons only, so even if you equip a full set across the front, that's only 50% of your weapon slots.
So yeah, you ramp up your aux power, nerf your weapon power, and for those three cannon, great! ... but the three rear weapon slots are getting nothing, and that's if you're at 50% Weapons power.
If you're less than 50% power, you're getting a penalty to energy weapon damage, so the only option is to equip torpedoes and mines.
Since you can't fire more than one torpedo at once, you're going to have to mix types, in order to stagger the cooldowns-- which makes it difficult to fit a an appropriate damage type for the torpedoes.
I'm not saying they can't be viable, but in my opinion, they make the ship build considerably more complex, rather than easier.