Here are a couple of pics of the spring powered linkages with the carb in line. The air filter has been removed as you can see so everything shown is as it was just after the rebuild.
[quote][/quote]If the throttle speed adjustment screw-hole has never been tapped, and your carburetor does not have the tang for the idle speed screw to press against, your engine may have a feature that is not found on any of the Honda engines I have seen to date.
This is the case in point. Those conditions present themselves.
Clearer pic of carb:
I hope these images provide enough additional info to clarify your thoughts.