Search results in component pickers do not show up unless they match both the name of the actor and the component, this is because FActorHierarchy::CreateWorldChildren ends up calling Mode->CreateItemFor() for both the actor and it's components (which checks the filter and search) and only adds the actor and components if they both pass.
You can see a similar and somewhat related issue in the Outliner, where it is not possible to search by the name of a component if you uncheck "Hide Actor Components". The root cause is different, but the fix would be similar to add the actor and components if either of them match the search filters.