Those springs could be for Delco or Mallory but the secondary spring needed isn't there and won't be there. I'm not aware of any current commerical sale of those and even back in the day they were not generally retailed. You can ask Halifaxhops if he still has these "Blue Dot" spring sets available. I have a set but haven't experimented with them yet.
If rebuilt distributors were still available at the parts store for $25 that would give you a spare to run in the car while you open the other one up.
Lets look at what we do know about the distributor in the car.
There is at least 30 degrees in the governer.
It also looks like there is no long looped secondary spring. That's what slows the advance x number of degrees out from the initial.
So if we had to guess, that's what is missing.
If it was still in original configuration the advance should have had a shape that would fit closer to the specs plotted here for a '73 2bbl 318
Your distributor advance measurements in pink, using TDC at 800 rpm for the initial.
My
guess is that using this distributor, what will be needed is weld up the inside of the slots AND get a heavy secondary spring AND a little tuning of the spring perches or loops.
An example of the weld up is shown
here. The difference there is shape of the advance curve was good, but the initial advance was too long. There is also a possibility that its a Mallory built Mopar Performance distributor. That's uses different springs and is a little more complicated to set up.
Some more helpful pictures in the thread linked below. Keep in mind this is a preview to help you come up with a plan for the parts. Establishing the best initial timing still will need to be done iteratively, especially with an automatic transmision. But having timing that is stable at idle rpms will make it easier.
Made a goof in the graphs above (at 3500 rpm) when I plotted out the timing you measured.
Fortunately doesn't change the main point.
In gray is the range where I think the timing ought to be.
So the next question is how to get there.
The first thing to do is reduce the tension of the primary spring. That's the spring with tension when the distributor isn't turning, or turning slow. On a Chrysler distributor you do that by turning the spring perch (circled).
You don't have to disassemble the distributor unless its really stubborn.
You can file a...