My feeling on various beam weapons with HSA:
Beam PD is shafted by the range reduction (reduced time to shoot missiles down). Beam PD is generally already very low DPS and can just barely handle missiles when massed, so reducing the range really hurts. This is one of the biggest issues with HSA IMO.
HSA tac lasers seem like bad IR pulse lasers. Maybe the extra 100 range is significant, but I don't think it's enough to offset the extra OP of the hullmod, the lower DPS, the worse armor pen, and the worse efficiency.
HSA graviton is interesting (probably the best use case for HSA IMO), but it's still pretty expensive in OP to pay for HSA for such low DPS. It doesn't feel like enough to build the entire ship around, but I think 110 kinetic DPS for 75 flux/sec at 600 range is a good weapon. I think most ships wouldn't mind the weapon but the OP cost for what's still essentially a support weapon is a bit too steep. I think maybe wolf might be an interesting use case.
HSA phase lance has 400 range which makes it really difficult to use safely. 400 range is pretty much the LMG/HMG range band, so it's super dangerous to go that close. It's super risky in late game to go into <500 range unless you have a really good mobility ship system, and even then, the AI is really hesitant to go that close unless you use reckless AI which can lead to other issues. I think HSA phase lance is close to unusable for the AI in practice, and probably not worth the extra OP of the hullmod in general. I would rather use normal phase lance.
HSA HIL seems like a bad option to me. The whole point of HSA is to make beams better against shields, but HIL sucks against shields anyway due to HE damage even with HSA, and also eats a ton of flux. HSA HIL is 275 shield DPS for 500 flux/sec at 600 range. Losing 400 range hurts way more than gaining hard flux IMO. If you can win the shield battle while trading flux so inefficiently, you probably didn't need the hard flux in the first place IMO. Maybe paragon can get away with brute forcing shields with HIL, but I think there are better builds.
Tac lance seems like another interesting option, but at 600 range, I have to justify using it over a plasma cannon. Best use case might be on a champion IMO (but losing beam PD kinda sucks). Odyssey and apogee really would rather use plasma cannon IMO and I think paragon is too slow to want 600 range, although 4x HSA TL paragon might be a fun meme, or even 2x TL + 2x Autopulse or something like that.
I think rift lance has a lot of the same issues as phase lance. I did experiment with HSA rift lance on a scarab, and it was effective, but I found that I got pretty much the same performance out of the same scarab with 4 extra capacitors instead of HSA, so I'm not sure it actually does anything. I think theoretically the HSA version should be better 1v1 but in practice, there's enough shield DPS from allies that the hard flux isn't super important.
...Even without SO if you went with AO you would hit 800 range...
..With ITU and AO...
You are not allowed to use AO and HSA together. Even if you could, I think the HSA range reduction would probably apply after the AO buff giving only 100 extra range. If you could get 200 extra range, I think that might make HSA more viable, although the massive OP cost of HSA + AO (and probably turret gyros too) is still a huge issue.
HSA + SO is an interesting idea trying to make the range reduction unimpactful. My main issue with that concept in general is that SO is already a massive OP sink, so the extra OP to equip HSA is a really big issue. I also think that beam weapons are generally low flux/s and DPS, but SO wants the highest DPS weapons possible to take advantage of the extra dissipation, so I think the two hullmods just don't really work together. I would rather just use heavy blasters. Maybe there are some good builds though.
edit: I just though of one interesting idea -> Aurora with 3x phase lance and tons of rift lances. Massive burst damage. Might better with one ion pulser and few ir pulse lasers/mini pulser.