The screws can actually have a lot to do with the sound. At least at idle. They have minimal effect after the throttle is opened.
Don't worry about the number of turns (other than as a general reference) and don't try to keep the two sides matched. The screw tips are not always identical and carburetors and fuel distribution in the intake is not always consistent. So just turn them in or out as needed.
You typically don't want to see less than 1 turn, or more than 3.5 turns, but even that is subject to individual carburetor whims.
As you turn the screws in or out you should feel the characteristics of the idle change. You generally like it to go higher and smoother, but there is a tipping point where it might just be smoother when turning the screw back in from it's max. The idle might come down and that's ok too.
Whatever the idle ends up at from adjusting the mixture screws, you re-set it to the desired speed using the idle speed screw.
This speed also changes when you advance or retard the timing.
So a tune-up is really a dance, where you swap between adjusting this, that or the other thing until it's balanced just right.
And don't be afraid of timing. Although 10° BTDC is actually a very good setting, every engine is different and yours might like more or less.
And that's just assuming that the timing marks are correct!
Good luck. Play with the screws until you find the sweet spot. Remember that the number of turns listed in the rebuild manual are just starting reference points. Everything can change once the engine is running.
Paul