[pwrdbym]

I've done a hundred brake flushes over the years and always skipped the ABS pump. The key is to do the flushes frequently so there's never really old fluid anywhere in the system. You can do a flush and then do another in about a weeks time and that will likely get most of the old fluid out of the complete system. Be sure you're draining (sucking out) the old fluid from the reservoir prior to the bleeding process, this ensures a more complete flush.