i dont think you are correct there
i had that happen on my duster (the soft line collapsing) but it wouldnt become notable untill the top of 2d, beginning of 3rd, in the 1/4 where the bowls would be dry
remember, the fuel pressure you are seeing is going into the fuel bowls so even if it were to drop to zero, you still need to empty the bowls to run out of fuel
the stumble (in my opinion) would be more likely caused by a bad adjustment or little junk in the carb