I always just used the front pivot alen head to fine tune the centering on the Weinmann, Mafac and Spidel brakes I had on my bikes. Spidels LS sidepulls adjust and stay adjusted very well doing so, the Weinmanns do OK but will sometimes need some slight readjusting again after many miles. You don't even have to loosen the brake anchor nut as you only have to turn the brake caliper only very slightly anyway.
P.S. I don't use star washers on my calipers, just the aluminum bushings and washers that normally came with the brakesets.

chombi