Comment by abeyer
You say "for every unicode symbol", which I guess is true if you search by code, but for anything that isn't in your curated set I'm unable to even find it if I paste the literal character or use the "official" name.
eg ℝ "Double-Struck Capital R" won't show up at all unless I search it as U+211D.
You’re right — the main index is curated. I added a /codepoint/… fallback so pasting a literal character or U+XXXX always lands you on a dev-friendly encoding page, even outside the curated sets. I also clarified this in the UI copy.