I like your "neo-science" quote !
As the actual science has progressed, and the sensitivity of assays has increased, workers have encountered "-only" antibodies: albumin-only, enzyme-only, LISS-only, PEG-only, solid-phase-only, Gel-only. As you point out, if the older assays were that bad, we'd have patients dropping all over the place due to the presence of "missed" antibodies and false-negative crossmatches.
My point about the "stickiness" is that the gel system is notoriously unforgiving with anything but completely normal, healthy, well-washed cells, preferably in the manufacturer's diluent. Throw anything at it that's little different and you risk incomplete or unsatisfactory centrifugation of red cells. I don't know if that specifically happens with Jk(a-b-) cells, but I have seen frozen/thawed cells behave badly.
After reviewing the posts here , I think it's perhaps a little more worrying that jojo808's group may consider transfusion of "least-incompatible". I understand that needs must, but that's a dangerous proposition if one doesn't know the specificity of the antibody(ies) causing the incompatibility.