I was primarily commenting on the fact that, as your tech progresses, you'll be able to carry a larger number of GC fighters in each hanger deck. I fail to see the relevance of the tech cost.
Not by much. Yes armor does get lighter, but not much else does. Really the only other relevent tech the can help with hull space useage in a fighter is fire control. Even that doesn't have much wiggle room. Keep in mind that a single hanger is limited to a capacity of 1000t(20hull spaces). Yes, you can build a carrier with more hangers to support the increased number of fighters.
The comparison to a full sized system isn't completely accurate, either, as a full sized system will get only a single burst, while the fighters can get in multiple, the exact amount depending on the enemy's reload speed.
No it's not accurate. I only did an off the cuff hs usage comparison. The accuracy comparison is actually worse, the .5hs GC is 1/12th the size of the full size system and 1/20 as accurate. The real point is that logistics side increases at a higher rate to field enough fighters with the reduced systems to equal to potential of the full size system.
For agruements sake assume that it takes a 500t fighter to field a 6hs GC and 125t fighter to field a .5hs GC. Assuming a carrier with only 1 hanger you can field 2 500t fighters or 8 125t fighters. The larger fighters are fielding 12hs of weapons and the light fighter are only fielding 4hs of weapons. To make matters worse there is a much lower damage potential in the smaller fighters for the same hanger capacity. You need 3x the hanger capacity too field the same weapons hs and 5x to field the same damage potential.
Sure, fighters in an anti-missile role can be countered in numerous ways (ECM, armor, faster), but all of the counters result in weaker warheads hitting your ships.
Tech, counter tech doesn't always result in weaker hits. It's also a recursive loop argument.
And once you get to the end game engines/BFC, the fighters will almost match their full sized counterparts in a strict PD role simply because they have twice the tracking speed for their BFC and weapon.
Max tech arguments are also pointless.
This has really drifted from the OP's question. No matter what beam system you place in a fighter it has to survive to attack range, in the current Aurora environment this is a low order probability.