I decided to go ahead and try the test out myself. The flaks were moved to the center of the gravity well, and the carriers warped in (full antimatter when they departed). The flaks were in a fleet, otherwise no micromanagement. I considered the carriers don't for the count when all fighter squads were reduced below 20%. I also recorded how long it took before the first fighter squad was totally wiped out. It's worth noting that no carrier ever ran out of antimatter in these tests, even without any upgrades.
These were my first tests:
6 Vasari Flak vs 6 Advent fighter squads
Took 1:30 to kill the first squad, 2:10 to finish them outright
6 Advent Flak vs 6 Vasari fighter squads
Took 1:45 to kill the first squad, 2:30 to finish them outright
I then repeated the test with larger armies:
12 Vasari Flak vs 12 Advent Fighter Squads:
Took 1:00 to kill the first squad, 1:35 to finish outright
12 Advent Flak vs 12 Vasari Fighter Squads
Took 0:30 to kill the first squad, 1:15 to finish outright
Unfortunately, the Vasari fighters started acting very weird in the last test and stopped doing passes, instead slowing down and staying in range of the flaks. The Advent fighters did not do this, so a comparison may not be valid. Their behaviors were the same in the first test, however. I'm going to do some tests with upgrades then edit in the results.
Edit: upgraded test.
Vasari upgrades included hull upgrade (+13%), armour (+2.0), and charged missiles.
Advent upgrades included hull upgrade (+20%), and laser damage (+15%)
These accurately reflect the availability and preference of upgrades for their respective factions. The results were identical for both factions (and the Advent and Vasari ships behalved the same way this time). I only did a 12 vs 12 test. It took 0:30 to kill the first squad, 1:00 for all squads to be dead.
Edit: fully upgraded test
This time, I upped the size of the fleets further to 24 fighters and 24 flaks. The results were virtually identical to the partial upgrade test I did a while back (except one unlucky Vasari squadron got toasted on its first pass, but I chock that one up as a fluke). Both fleets of fighters were defeated at the 1:30 mark. Seems the fact that Vasari flaks only get +20% damage upgrades is cancelled out by Vasari fighters having an extra armour upgrade.
I don't think I'll do any more of these. I can plainly see that even slight variation in the positioning and movement are having huge effects here. I repeated a few of the above tests and got differing results (although the 6-flak test was consistant when I tried it again) with exactly the same setup. It seems once there's about 10 flaks and fighters it just becomes a big jumble, and the randomness of whether a flak has a clean shot or not counts a lot more than the actual combat strengths of the units. I guess that in and of itself is a result, eh?