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Yeah thats what my manual says. I tried it that way and never got the good pedal or a good squirt of fluid.
I have done a number of brake jobs on various years C3s. If I attempted anything other than manufactuers sequence I could never get a hard pedal. Every time I followed the GM shop manual sequence I got a hard pedal in one pass. I do two or three just to get every last bubble out. About a year ago, a GM mechanic on here explained that in the improper sequence you will keep pushing air bubbles back and forth at the proportioning valve and never get it to push all the way out to the caliper. I have read all this stuff about gravity bleeding, building pressure bleed set ups etc., but when asked most all are doigng the old standard bleed sequence (fartheset to closest). This thread pops on here about every three months!
One thing I found beneficial is to attach a clear, flexible piece or hose to the bleeder. Harbor Freight has a $5 kit which includes a small bottle to catch the fluid, on sale for $1.99 37201-2VGA. The clear hose allows for examination of the brake fluid for air bubbles. My complete brake system was emptied. I was getting fluid out to the bleeders; however, there was small amount of air still in it. A few more pumps of the pedal and the fluid was airless. I have bleed my brakes a few times of the course of 20+ years and using the hose this time to see what was coming out gave me the best brakes I ever had.
There are several bleed screws on the calipers as I recall. Make sure you're doing all of them. Having said that, i invite you to review some old forums on this topic. Lots of problems with C3 brakes. I personally replaced every brake component on mine (except the steel brake lines that run along the chassis) and couldn't get solid pedal until I replaced the vacuum booster. I went to a Hydraboost system which is like brakes on steroids! By the way, don't overlook your proportioning valve which may be diverting fluid to the front brakes only. Remember, once all else fails, check your vaccum boost.