For what it’s worth…
I am not well-versed in the HL series, but have run into a few HS’s off of Homelite 9xx’s that have worn throttle shafts. With the strong return springs the shaft can wear oblong in the carb bore, particularly on the spring side. They can wander a bit and produce air leaks depending on orientation in the bore. Loading up at idle and or wandering at WOT. Impossible to tune unless you swap the shaft. I’ve tried using JB on the worn shafts (grooves) and sanding round again. Can help, but not ideal if a new shaft assembly can be had instead.
Grab the shaft and If it can be wiggled radially in positions through idle to full throttle, tuning issues will manifest.