Trying to do this from memory (don't have my wiring diagrams here @ home).
I THINK the 2 flashers are the same- L shaped connectors. Either should work in either position.
I THINK the Emerg flasher circuit has power all the time- meaning the Emerg flasher will work without the key being On (Acc or Run position).
I THINK the Emerg flasher circuit does go thru the Turn Signal switch.
I THINK the fuse for this circuit is the very bottom one in the fuse block.
Now, if all these suppositions are correct, here's what I'd try: (are you savvy with a voltmeter or test light?)
1.) Substitute the Emerg Flasher and see if they work. If OK, you've solved the problem.
2.) If not OK, put the Emerg Flasher switch ON, and check for 12 volts on BOTH ends of the fuse. It may be blown, or the clips that hold the fuse may be corroded.
There are only 3 components in the circuit: Fuse, Flasher, Turn Signal switch. Wiring COULD be the problem, but I doubt it. If you eliminate the Fuse & Flasher, guess what? The Turn Signal switch in these cars is notorious for failing.
I'll be out of town this weekend- hope you have good news (meaning solution!) for me when I get back Monday.
Neil