Fuel pump question....
Next time the car has sat for a week, have some one press the accelerator down a few times and you (or with your back) someone else look down the carb to see if the accelerator pump is pumping fuel into the carb if it is, then the carb is not dry.
My stock 67 dart 273 2bbl will start on 1 to 2 pumps and on the first try if I drove it yesterday. Last week is another thing. 2 pumps crank crank crank, 2 pumps crank crank crank and it will usually start. If not it will on the 3rd cranking.
That is in all weather, 25 deg cold dry garage in the winter or 80 deg dry garage in the summer.
I think we are spoiled by our new cars and FI, 2 seconds of cranking and it starts.
What I suspect is happening...
When you drive the car and shut it off, air fuel mixture remained in the intake. It is revativily sealed off from the atmosphere.
Then in a day or two it all has evaporated. And the only way to get the engine to start is to get air fuel mixture back into the intake.
When you pump the pedal you introduce raw file into the manifold, but no air. When you crank the engine the moving air helps to pick up some of the fuel and move it to the cylinder. But with the throttle blades and choke closed very little air is moving.
I recall reading somewhere that the best way to start the cars is to keep the throttle part way open while cranking. But I can't find the reference right now, might be in the glove box owners manual.
I have checked my own car for accelerator pedal shots and after a week I am still good.
Some theorize that the fuel is some how syphoning back to the tank and out of the carb, can't happen, fuel inlet is above the fuel level in the bowel.
If you suspect your fuel pump is a problem. SAFELY test it by collecting fuel in a bucket over time. disable the ignition and crank for 20 seconds and measure how much fuel you collect.
Unless your pump has an issue I think you will be surprised. 3 carb bowls empty is maybe 4 cups of fuel ( just a wild *** guess) I bet you get that in 4 to 5 seconds of cranking.