It won't matter at all if you are just bleeding the brakes. If you are replacing the brake fluid then those instructions are in order of farthest from the master cylinder. However nearly all 'newer' cars have ABS. Nearly all ABS systems are closer to the front of the car so those instructions are still true. The best answer is whatever your factory service manual states, so check up on the online forums for your particular car.
In the real-world though, regardless of all what I stated above it doesn't matter. I still bleed in the order you mentioned except this past weekend where I got interrupted, got lazy and did it passenger rear, pass front, driver rear, driver front. I still sleep well at night.