JQL autocomplete list doesn't have a scrollbar or any way of selecting more results

I just did a JQL search where I wanted to filter by component. When I did "component = ", I got a dropdown with suggestions, but the particular JIRA instance I was looking at had hundreds of components. The autocomplete results only showed components starting with letters "A" and "B". There was no scrollbar, or even a visual indication that more results might be available. If I typed the first letter of the component, that did start listing components starting with that letter, but I think the UI here is unintuitive and not user friendly.

A scrollbar would be a start, but still probably wouldn't scale to hundreds of elements. And, as an aside, it would be even nicer if JQL pre-filtered the components based on the project I selected. That would obviate the problem somewhat since most projects don't have hundreds of components.