Hmm.
The limitation of "Only two phasers can fire at a time" is a gigantic hassle, it does mean though that "Most things that we can get in the firing arc of one of our phaser banks are going to get Wrecked".
Honestly, the more I look at it, the more these numbers almost seem... How should I put it, backwards?
Like, the Focused Phasers seem to benefit light and middleweight starships more than Big Explorers because they have the ability to better assert their ideal firing arcs, so you can get away with giving a given ship only maybe two phasers and still get surprising fire support--but for a big chonky Explorer, having more Phasers doesn't help because there's only so many you can shoot at once, and you're less able to line up your ideal firing arc, neccessitating a larger number of guns, which makes the costs balloon.
Meanwhile, Gimballed mounts are extremely beneficial to heavy ships because it lets them ensure they can cover any angle of attack adequately with a smaller number of weapons--while each individual salvo does only 66% or so of the damage of the Focused Emitters, it's very difficult to be attacked from an angle that you're not constantly able to shoot at. This is an exceptional option for spammed light starship spam that the Klingons and the Kzinti like to use, but runs into Problems against other capital ships. This also isn't great for lighter ships because they're already in a good position for lining targets up, and they want to resolve tactical engagements in the fewest exchanges possible, before their more limited defenses are breached.