I feel really bad that you lost all your fish. That's just horrible. So sorry!
My bet is that there is a stark difference in the chemicals used in this formulation as opposed to those that are specifically formulated for reef tanks.
Albeit, LC is LC, but the concentration and any other chemicals used to stabilize the solution or otherwise are likely significantly different. Call me crazy, but that seems to be the only difference here. My bet is that there is a chemical or something that is materially different in the makeup of SeaKlear as opposed to Phosphat-e or other reef safe phosphate removers. It clearly says, pool use... just pointing out the obvious.
I have used Phosphat-e without issue - into filter sock, into skimmer compartment, and even into return chamber - without any ill effects. I have 6 tangs, including a yellow and gem, and they all don't care, one way or another.
That's not saying "it can't happen to you cause it didn't happen to me", it's just calling out that something has got to be different in what you're putting into the tank as opposed to the others that don't seem to have any issues with LC.