Vacuum build up in tank from improper venting.
Dirt or debris in fuel tank can cause fuel pressure
going up and down, there either something
restricting the flow were pressure builds then releases
when blockage temporarily moves out of the way, or
the carb. itself is not set up right. eliminate one part at a time,
you purchased a new pump so not the pump, you say you tried a different carb. so not the carb,
BUT you have not redone fuel lines and cleared tank and replaced in-tank filter.
fuel pressure is not going to be effected by air horn gasket slightly leaking at the
levels your getting on your gauge. fix the blockage and install fuel pressure regulator.