The original system had a mechanical pump, a 3 way filter and a U bend before the carb. Fuel was stored in the filter, the U bend and the float bowl. Standing overnight they should start first time, you just pump the throttle twice to get it on the fast idle cam and inject a little fuel and she is good to start.
I had this trouble for years. Then I popped the top off the BBD one morning and realised it had fuel in the bowl and on the second revolution on the starter more flooded in. It was not fuel starved at all, it was a mixture problem.
So I replaced all the vacuum hoses. Some were loose, some perished.
Both CJs now start first time every time. It is uncanny how they just fire up and sit there purring.
An electric fuel pump would only help if you had an issue with fuel draining from the pump to the tank. As the tank connection is at or above the pump this seems unlikely but you could get a syphon effect. The hoses also split at the tank, letting in air etc.
These things were properl built so if you have a problem it is fixable. An electric pump is a sticking plaster over the issue which may be leaking hoses at the tank, a fuel filter wrongly installed or a vacuum leak.
BagusJeep lives in Bali.
1981 CJ7 258ci - Bagusjeep
1984 CJ7 258ci - Puthijeep
1981 J20 258ci - Gladys
1951 Willys CJ3A/MB/M38 - Little Willy
1995 Cherokee 4.0 - CHEROKEE