Not sure what a "good driver" is but from the description of your driving it sounds as though you have not attended a track day. Coasting through a corner is the least advisable technique. Start by getting all of your braking done early in a straight line and then roll on the throttle before the turn and accelerate through the turn gradually increasing throttle input. As you get more comfortable with this method, you can begin to get aggressive with the throttle once you have passed the apex of the turn and exit under heavy throttle. The eventual goal will be to enter the corner hot while trail braking (easing off the brakes as you near the apex of the turn) and then transition quickly but smoothly to the throttle. When trail braking corners the most important thing is to be smooth with your steering input and transition to the throttle. Pick your braking and transition zones visually before you arrive at them and look through the turn not at it. Don't coast at any point through the corner, be on one pedal or the other.
You are already aware that when you enter a corner too hot, often the only fix is more throttle, so I don't think you will have any issues executing the above.