Is this ingredient recognized in Korea?

The shell is not an active ingredient, and Korea's register says nothing about it. It does change who can take a supplement, and it changes how well the contents keep.

• Gelatin — collagen from cattle or pigs. Cheap, dissolves quickly, good oxygen barrier. Rules out vegetarians and vegans, and halal or kosher status depends on a source most labels never name.
• Hypromellose (HPMC) — plant cellulose, chemically modified. Plant-based and low in moisture, around 4 to 8 percent, which suits ingredients that pick up water. Its oxygen barrier is the weakest of the three.
• Pullulan — fermented from plant starch. Plant-based, and its oxygen barrier is roughly 300 times stronger than HPMC and 8 to 9 times stronger than gelatin, which matters for ingredients that oxidise. It holds more moisture, around 10 to 13 percent, so it suits dry fills less well.

None of these is better in the abstract. An oil or an antioxidant benefits from an oxygen barrier; a moisture-sensitive powder benefits from a dry shell. What a label tells you is which trade the maker chose.

Korea grades a functional ingredient by how much human evidence sits behind it, and the grade is baked into the approved phrasing rather than printed separately.

• Grade 1 — "helps with X." The strongest tier, and rare. Lutein is one of only a handful ever granted it.
• Grade 2 — "may help with X." The bulk of the register. A single human trial can be enough to qualify, and that trial is often funded by the company applying.
• Grade 3 — "may help with X, though human trials are insufficient." No human study data is required at all.
• Nutrient function — "needed for X." Reserved for vitamins, minerals and other established nutrients, and not graded on the same scale.

So recognition tells you an ingredient cleared a regulatory bar, not that the evidence behind it is strong. The dossiers themselves are submitted by the applying company and are not published, so the grade is as far as the public record goes.