Brake bleading question

[radarwhiz]

Originally Posted by SoCal LS-L

you will have a lot of bleeding to do.... start with the master cylinder, then bleed the caliper the farthest from the master cylinder (pass. rear), then driver rear, then pass. front, then driver front.

...as was always my understanding of the procedure. But then I found this in the Chilton repair manual:

I presume this is because of having ABS but does it really make that much difference in what order to bleed?
Any insight on this?