Can Practiced Percision Increase Weapon Speed/Great Strike?

The Practiced Precision Dt can be used to shorten nock and draw by one action (as stated), but can it be used to increase the standard weapon speed by one (increase your staff speed from 2 to 3, your longsword from 3 to 4, ect).
It would seem that the more practice you get with a favorite weapon, the more precision you develop in your swing, the better you could swing it, and the faster the weapon speed becomes.
As far as that goes, Practiced Precision Great Strike anyone? (Becoming so practiced at the precisely delivered Great Strike that you deliver it in one action rather than two). Sure, you would have to be in an aggressive stance to do it (trait), but a volley one/action one Great Strike with a sweet axe or pole axe could end the fight real quick.