So this topic has been dead for a while but i think i found a concept that works. Its not great. But its not bad. And its kind of player only. And there is kind of only one ship or two ships you can kind of make use of it on.
The things it works on is phase ships that have phase anchor so long as the pilot has elite field modulation(or is in the Ziggurat)
The reason is that with elite field modulation and phase anchor you can fire your beams, and phase to halve the beams cooldowns and then fire again effectively doubling their DPS in real time and trebling or quadrupling their DPS in game time. The problem that HSA solves is very good shield tanks. Even very well kinetic structured Ziggurats can start to falter against super tanked shields and if that happens then the enemy may be able to back out. This is very bad because you're not very fast in the Ziggurat but also because the phase anchor tachyon cycle naturally pushes your hard flux up.
The range reduction is a problem. But not necessarily that much of a problem. With the Ziggurat, tachyon lances in the forward slots still have decent range at 1,050. Which isn't that too far behind heavy needlers, which you will want to fit for this build as well because HN fits very well within the framework of phase anchor, having high burst and a long cooldown time. (unless you can get your hands on resonator MRMs)
The main example for me is testing against the sim paragon essentially skill-less (going for player controlled AI ships in this game and don't have any personal combat skills except the ones in tech yet). Without HSA the below fit* needs to vent in order to kill the sim Paragon. With HSA it does not.
*(just because of what I have access to 2x AMSRM, 2x Tach Lance, 1x Heavy Armor(built in), 1x ITU(built in), 2x Heavy Needler, 2x Resonator MRM, IEM, Phase Anchor, HSA [IEM for flavor and because i want to have a dumb low sensor profile]. With HSA removed you add a few more caps and some more vents.
Is this maybe a minor advantage? Yea. But if you need to eeek out every last power against like... doritos then it will be valuable.