The point of a converter is that you don't need to change the headset, if you changed the headset for an aheadset you wouldn't need the converter.
@Fox started
London Fixed Gear and Single-Speed is a community of predominantly fixed gear and single-speed cyclists in and around London, UK.
This site is supported almost exclusively by donations. Please consider donating a small amount regularly.
The point of a converter is that you don't need to change the headset, if you changed the headset for an aheadset you wouldn't need the converter.