This is confusing me in a couple of ways. First, the indicator bulbs ground through the housing as do the rest of the instrument cluster bulbs. Is that what you meant by grounding together?
I don't believe they grounded that way originally, they had isolated sockets and were wired as shown in the diagram ruscar posted. I believe most if not all of them were that way from the factory, as it keeps coming up both on this forum and the AACA.
Second, if the flasher is wired before the circuit how will changing the way it grounds change things if "The flasher itself has no way to make one side behave differently than the other."? Thirdly, if the flasher has nothing to do with it but it's coming from the switch side would replacing the switch be helpful? BTW thanks for trying to help.
Well, I only made the comment about the flasher not being able to make one side different because you said:
The exception being both dashboard indicator lights flashed with the right signal but only the left flashed with the left signal. Electricity makes my head hurt.
The flasher cannot make one side behave differently because it comes before the switch. There has to be something else going on with your car because one side behaves differently. It can't only be the flasher.
The common issue with a modern flasher is behavior like your right signal, flashing both indicators. The difference is both right and left do it.
So to clear things up a little if I can, let's forget about the weird 53 dash indicator wiring for a moment. The old flasher's have 3 terminals. One terminal is connected to power, and one to the signal switch.
The third flasher terminal exists only to flash a dash indicator on a car with only a single dash indicator. The third terminal connects to one bulb, and the socket is grounded. Since there is only one dash indicator light, it needs it's own flasher terminal because there is no place to connect the bulb that would work for both right and left. Slightly older Chevys that had the "Guide 6004" switch worked this way.
Here is how the signals work. The flasher always has power (at least with the key on). When you turn on a signal, left in this example, the switch does 2 things. 1) it connects the left front bulb to the flasher and 2) it disconnects the left rear bulb from the brake lights and connects it to the flasher.
On a normal car with 2 dash indicators, the dash indicators are just connected to the front signals, and the sockets are grounded. The dash indicators are connected to the front because they would come on with the brake lights if they were connected to the rear.
Now back to the 53 wiring. Instead of grounding the dash indicator sockets to the dash as you would expect, they isolated the dash indicator socket grounds, connected them together, and connected them to the third pin of the flasher,
that same third pin that was meant as the hot terminal for a single dash indicator.
Why did they do it? I don't know. The flasher has the same Chevrolet part number as the flasher in earlier Chevrolets. I looked it up one of the other times I encountered this. And, apparently things work just fine with the original flasher.
With a new production flasher, like the one from NAPA for instance, both dash indicators blink with either signal on. To fix it, you have to disconnect the wire from the third pin of the flasher and ground the wire. The flasher third terminal is left disconnected.
If you do it you also have to swap the indicator sockets in the dash. Why? Because the way Chevy wired it one dash indicator is connected from a hot to a hot when the signal is on, and the OTHER indicator finds its own ground through the front bulb on the side that is
not blinking.
Yes, that is really confusing. The dash indicator that is blinking is really the one connected to the side that is not turned on. If you make the change to use a modern flasher, the dash indicator blinking will now be the one connected to the side that is on, and you will find you need to reverse their positions in the dash.
Now switching back to the problem at hand: Like some of the others in this thread, I think you will find a problem with a bulb or socket ground somewhere. Maybe the switch. There has to be something different about one side of the car.
As for the flasher, your original one is probably ok, and if so you can ignore most of what I typed above. Good luck, and I hope you get it sorted out soon.