Turning the high speed screw to the right makes the mixture more lean {less fuel}, and the 2 cycle engines will run faster the farther you lean it out, to a point.
You will reach a point that the rpms stop going higher, and that is getting into the danger area, as running too lean for very long will damage/melt the piston, so the safe range is on the rich side of that adjustment. The use of an rpm meter is advisable.
Then as you go richer the engine will start slowing, and that is where you want to be.
But doing the adjustment on the high screw, you likely will need to adjust the low and idle screws. It should idle well, and have fast response when you hit the accelerator, and not die when it comes back down to idle.
After tweaking that, then go back and fine tune the high screw.
But the high speed screw is extremely critical, and adjusting it to lean will damage the engine. If you cannot adjust it out, then the problem is somewhere.
Which is why I suggested swapping carbs. If the other saw runs too rich, and the other saw runs good, then you know that the problem is in the carb. And can confidently go from there.