Many thanks for bringing the IG Living magazine and website to our attention! I didn't know it existed. I see that it is sponsored by FFF Enterprises, "the leading U.S. supplier of critical-care biopharmaceuticals, plasma products (including albumin, intravenous immune globulin and coagulation products) and vaccines." (It's always good to know who is behind what.)
With regard to your question, let me hasten to make it clear that *the typical SCLS patient has the normal supply of immunoglobulins* floating in his/her blood.
Specifically, it has NOT been scientifically alleged -- never mind proven -- that SCLS patients have a deficiency of immunities. And as far as is known, SCLS is NOT an auto-immune disease.
It is suspected that IVIG works on SCLS patients because it provides some other benefit alongside the extra immunities -- possibly in terms of helping to preserve the integrity of capillary cells. Its well-known anti-inflammatory benefits may have the most to do with IVIG preventing episodes of SCLS.
IVIG has "anticytokine properties," namely, it tends to keep certain regulators produced throughout the body (cytokines) behaving normally. The over-production of cytokines has been known to trigger various disorders, and the temporary separation of capillary cells may just be one of them.
This is why other medications for immune and auto-immune diseases may not do the trick.