Actually, your test results give me a different conclusion. The problem is upstream of the turn signal switch. Here is why I say this:
The turn signals work.
The hazard lights don't work.
You have the proper resistance measurements at the switch.
The jumper at the 6 pin connector was to eliminate the turn signal switch as being the problem. With the behavior being the same as with the switch connected, it reduces the chances that the switch is the problem.
If the problem was downstream, the blinkers would have the same problem since they share the wiring from the switch to the taillights.
The hazard lights and brake lights are powered off the same circuit.
There is a good chance that there is corrosion or a damaged wire/connection in the circuit. Either condition is like a clog forming in the pipe between the water main and your house. If you measured water pressure with no faucets open, the pressure looks fine. However, run your washing machine, the shower, and the hall bathtub at the same time, and you will find you don't have any water pressure inside your house.
So how do you find and remove the "clog" in your wiring? The easiest thing is to check your fuse box first. Look for corrosion or bent/poor contacts at the fuse. Look for corrosion or deteriorating contacts on the backside of the fuse box. Make sure the connectors between the dash harness and fuse box are in good condition and free of corrosion.
Don't be afraid to take photos of your fuse box and post them here. I can only make "logical" guesses without seeing things or working with a meter on your car.