Large icon library - search field doesn't work

A question about large icon library that includes a lot of icons, in several colors and sizes:
In order for assets to have only one icon and not a million, the whole library is one component that was composed as a set and divided in properties by color and size.
In this situation, searching by icon name does not work.
Icon search only works if each icon is a component in itself.
Is it really so or am I doing something wrong - because when there’s a dropdown with a lot of icons, even after filtering by color and size, it’s tedious to find the icon.