So I noticed a while back that the Wall spell, StarVeil (Light Curtain) and MoonVeil (Lunar Curtain) items had statuses set, despite using their own "Add Reflect" effect. I decided to see if having a status set mattered, and it does. These statuses were already documented in the old Tower of Bab-il docs:
05 7 D magnetized
05 6 Stop
05 5 D egg
05 4 D defending
05 3 D charging
05 2 D twin casting
05 1 D jumping
05 0 Count
06 7 D hiding
06 6 D hp leak
06 5 Wall
06 4 Barrier can't be hit with physical attacks (except Jump?)
06 3 D image high bit
06 2 D image low bit
06 1 D covered
06 0 D critical
Add Reflect can successfully add Wall, Barrier, both levels of Blink/Image, and Hiding (cannot be hit with magic, physical attacks redirected to other party members). Nothing else appeared to work, but it seems Add Reflect may actually be a generic effect to add statuses from this "06" set, at least.
I tried the same with Add Blink, however that spell only seems to work with the two Image statuses and Barrier. When Barrier is used, however, it doesn't add Barrier status but instead just acts like Blink had been used.