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That mass isn't really a whole lot compared to the rest of the ship though, and the energy usage is irrelevant unless you're running your drive at maximum and thus actually need to use the battery.
Mass difference is negligible compared to the rest of the ship (big ships were what, 8000 tons AT LEAST fully kitted?), and so is energy usage unless you run VERY barebones ships, whereas UV laser shots are more effective, so you'll need fewer of them. Therefore I didn't see the need to mention them originally.
If you're firing from close range it doesn't make nearly as much difference as it does for the long-range shots. 4% or 6%, either way it's probably punching straight through your armor.
They're not combat stats, as they're not directly tied to the weapon's performance in battle, like effectiveness vs armor or fire rate. But sure, I'll answer your nitpicking one more time.
Those are mainly logistics stats, and minor ones at that. Like I said, a fully kitted battleship has mass upwards of 8000 tons, so a 200kg difference in the main cannon is too small to be noticeable in battle, the only noticeable effect might be on cruise acceleration, if you're using some insane fit like ion drives on battleships.
And the energy difference is also a logistical stat, because it is covered by other ship systems, and it is also negligibly small considering what type of power equipment you get at that point unless you actively avoid it.
If you're firing from close range, that probably means you got into said range from the starting positions, so you were firing before that, and the damage you have dealt up to that point will be different, easily on a scale of one or more destroyed ships.
Trying to construct an argument by only comparing the two weapons at 100 meters is disingenuous.
The problem with radiators is that they're not protected, so a stray laser shot from long range or a sneaky missile can take them out, crippling your ship way before it could be taken out otherwise, so it's still useful to hide them for initial salvos at least.
720cm Infra Phase Cannon has higher % at all ranges. ( I improved my formatting of the question to make it easier to read.) So why are you saying the UV is better?
Yes, I said that already.
Also, the 720cm is a 3-slot nose mount, which a Battleship can't use. A Battlecruiser only has 2 Hull mounts, which becomes important for the next point.
And you could just as well have been using it defensively up until that point to help shoot down a storm of missiles.
And, once they fix the AI ship designer to actually equip armor, you aren't going to do a whole lot with 15 damage at long range. Whereas 6% armor effectiveness makes for 250 armor damage, which nothing is going to stand against for very long.
It would be less so if lasers didn't have that totally arbitrary max range that doesn't improve with anything but size...
https://en.wikipedia.org/wiki/Diffraction-limited_system#Laser_beams
https://en.wikipedia.org/wiki/M_squared