Brad doesn't talk about driving Martinsville. He does it, and he's had a lot of success doing it. It's plain to everyone watching that he gets into the corners harder and deeper than most all the others. It's how he passes people, which is the point after all.
In the MotoGP race yesterday at Misano, almost every passing attempt was an out-braking at corner entry. Same as F1, until you introduce an aero anomaly like DRS into the equation. There's not much of a trade off between corner entry and corner exit. Time can be gained, or lost, on either or on both. Especially at Marrtinsville, where the apex is a long, long arc that follows the shape and radius of the inner curb.