The thumb screw on the lever adjusts more than the lever's location. It adjusts the amount of slack in the cable. Crank it one way and the cable will get so tight that clutch won't engage.
Crank it the other way and when the handle meets the bar, the clutch still won't be fully disengaged.
The cable stretches with use. That's why the manual specifies the adjustment.
To the OP: If you put the backside up on a paddock stand, pull in the clutch and put it in gear, the back tire will spin. I'm not enough of a mechanic to tell you why, but it does.
Personally, I don't notice a "pull" when at a stop light. If you've got the adjustment per the manual and the bike still feels like it's to go forward...
Hmm. I'd try adjusting the cable tighter. Just as a test, because the clutch might not be able to fully engage with the cable that tight. If that fixes the problem, I'd say your cable has been stretched beyond it's usable limits and needs to be replaced.
That usually takes a whole lot of miles, but stuff happens. Grit can get in the cable sleeve and increase the friction between sleeve and cable for instance.