These vehicles are simple, but they are all roughly 70 years old!!
Any system (doesn't matter, pick your favorite) that has multiple sub-systems, must have all the parts working together.
You could take your jeep, rebuild the engine, carb, charging system to perfect specs. Replace the radiator and tires. But if you've got a hand-full of rust in the fuel line clogging the pump or the carb from getting a steady flow, the jeep won't run.
Each component can have a bunch of issues. Each can be resolved.
I read that you have a gas filter before the carb. Have you ever had one before the pump? Have you flushed the fuel tank out? Have you hooked up gas similar to a boat: A spare gas can with a hose directly to the fuel pump?
Changing connection from pickup to drain for your fuel could add trash into your line. I once lost my ability to crank and used the drain port to sample and got 1/2 & 1/2 gas and water in my glass collection jar. Anything floating or swishing around in your gas can be a problem. Here's an image, from the CJ3A Information Page, of what the pickup should look like inside the tank:

That depression just under the pickup opening is the drain. That's where all the debris/crud/water will collect (to more easily drain it out).
Take the time to check the entire circuit. Disconnect the tank line and blow it out (maybe wrap a towel or cloth around the other end to observe what comes out). Drain the pump. Disconnect the next line up to the carb and blow it out too. Maybe even open the carb bowl to see if you have sediment in there. Drain the tank (if possible, strain into another container), send a puff of air back through the pickup (checking for blockage) and see if there's any more debris - or water that drains out. Consider cleaning or replacing the tank.
Are you using ethanol blend? How full to you keep the gas tank?
BTW, if it eases your frustration, fuel delivery was one of my toughest challenges after first getting my jeep back in the late 70's. I didn't understand where it was coming from and wasn't getting a lot of help either. I replaced the tank, added a filter and used a lot of gas treatment to get by.