I've always been able to drive it by using the clutch, anticipating the immediate off throttle, " Right now," jerk, and smoothly using the throttle pedal on acceleration. It's only because I have two 528's I'm cursed with noticing differences in everything from noises to performance between the two.
I've kept every reply from Mike W., including the warnings about 35 years doing strange things to the wiring or creating tiny vacuum leaks. Out of pure stubbornness I've followed the trouble shooting advice large items first.
Replaced AFM, no change. Replaced distributor, same part number, new rotor, cap, timed properly. No change, or minor. Seeing green crunchy powder at the base of the temp/time sensor I replaced that and the temp sensor for the ECU. No change. Both are from parts collection, if the odds they fail are so great we should always buy new.
Next is replacing the throttle body but I have to admit doing it seems stupid. The one currently in place was completely rebuilt, gaskets, bushings, levers to new specs. The WOT and off throttle switches, " Click," and the plate is adjusted for them to do it properly. I.e., I'll do it if a Guru replies the odds are better than average there's a dead mouse in there causing the jerkyness, found only by replacement with a second rebuilt unit.
Otherwise, I've decided there will be no part 32. Between noodle picking for the teeny things and just driving it, I pick the latter, unless somebody has another large component to check, replace.
Jerky throttle, part 31
I'll hazard a guess the distributor change is exactly what made the difference as I suggested to you *some time ago*... 
The reasoning is your mechanical centrifugal advance mechanism inside the dist. is governed by springs that are *gradually* overcome with increasing RPMs. If something is sticking with the weights, and/or the spring(s) are wonky, too loose (age) or too tight(?) the net effect is like flooring it (when you don't expect that!). It's supposed to be gradual.
Go enjoy your drive.
The reasoning is your mechanical centrifugal advance mechanism inside the dist. is governed by springs that are *gradually* overcome with increasing RPMs. If something is sticking with the weights, and/or the spring(s) are wonky, too loose (age) or too tight(?) the net effect is like flooring it (when you don't expect that!). It's supposed to be gradual.
Go enjoy your drive.
HTH
'80 528i
'80 528i