The only time I ever saw someone try to use the e-brake in a race was MattR's run in Lovelock.
It started with him at the line... "Hey ya'll, watch this!". Then he drove out the taxiway, on to the runway, and executed a beautiful rear-wheel lockup/pivot around the turnaround cone. Then proceeded to power-on drift the car right off the tarmac and into the desert.

Then at the other end of the runway, he decided to drift the right-hand sweeper off the runway down the taxi-way, hitting like 5 cones with the left rear fender of the car... cones that dknv had to go pick up. I was the next car out and got red-flagged because Debbie couldn't get to that many cones before I arrived at her corner.
So yeah, the e-brake can be a ton of fun... but driving a proper apex is still faster.
Edit: oh that's not the only time I've seen an e-brake turn... Theo's used it to stop after the lights before.