This happens in any screen reader. For example, with NVDA + Firefox:
- Go to https://nostyle.herokuapp.com/examples/autocomplete
- Tab to the control to focus it and type "states"
- Use
NVDA + SPACE to switch out of forms mode and into browse mode
- Press
ARROW_DOWN. Virtual cursor will be moved to the little dropdown arrow, which announces as "clickable" (could be an issue in and of itself)
- Press
ARROW_DOWN again
Virtual cursor is moved to the hidden aria-live region, where user hears "3 results".

This can be fixed by clearing out the contents of the aria-live region 500ms after it's been added.