This thread is a bit confusing because while the original post is about the right turn signal dimmer than left, then jumps to relays on turn signal circuit that does exist, then shifts to flicker on headlights and relation to HEI. I will try to clarify each to the best of my ability.
About dim turn signal on right side. A single flasher circuit is shared for right and left, but bulb load current changes blink rate. Poor contact at socket ground to body is typically #1, followed by corrosion in socket, bad bulb, or bulb improperly inserted. Bulbs two locating pins, one closer to end. The bulbs often have two filaments, one dimmer for running and a brighter for stop/brake. I have worked enough older cars, to find often bulbs are inserted wrong. I have also see filanents drop, joing the circuits, or bulbs become dim as the filament shiny plates the inside of bulb at end of life.
Adding relays to fix the turn signal, that is silly, and there much more to it than saying that is a fix.
Flicker after HEI, headlight relay, MAD bypass? There are a few things that can happen, but it does not have to be a mystery, there are multi-meters and scopes to accurately diagnose the problem. The flicker will have a signature (voltage and current waveform) that can be matched to electrical load. An example of a noisy electrical load is HEI power on a circuit that is shared with the reference point "I" of voltage regulator. At low engine speed the HEI coil charge current is extended, to insure as engine speed varies, there is sufficient charge to fire ignition. As engine speed increases, the dwell extension ends, and flicker may decrease. The regulator responds to "IGN1" changes, and controls the field to make the alternator increase output to stabilize load it can be out of sync with peak transients. Any voltage drop between alternator output, filtered by battery and "IGN1" circuit that is used by regulator to sense and control voltage, results is voltage peaking above normal at alternator and battery. A use of meter on AC and DC setting can view the voltage drops, and wiring integrity improved to reduce drops, and a relay, properly employed is a solution too.
The MAD bypass where the alternator post is connected to the large alternator stud, leads to flicker. The alternator output has ripple, because an alternator output is a rectified 3 phase AC, resulting in pulsating DC. The post of starter relay has ripple, and that point via bulkhead connector and ignition switch feeds "IGN1", then add noisy HEI load, and the regulator does a poor job at low RPM. The alternator stud could be bypassed to battery, and protected with fuse of fusible link, reducing ripple, because the battery serves as a filter.
I have more to say but have to run...