Once you’ve improved enough that you’re making really solid contact, you’ll want to learn how to adjust the trajectory of your shots even if you’re using your lofted wedge. In order to flight it low and cause it to run across the green depends on how much loft is on the clubface. The way that you manage the clubface through impact is going to hit it different trajectories.
If I want to hit a little runner across the green, I want to set up pretty close to the ball, lean left and make this backswing where I turn and hinge the club more hooded. The ball lands and tracks like a putt, making it much more predictable.