Thanks for clarifying, shuste73.
So now I have a couple of questions. Did you ever soak the entire carb body and jets, either the first or second time around, or just the accelerator pump cover and float bowl? If not, why?
Did you replace the pilot air mixture screw after the first time or the second time? I know you discounted this variable as a possibility, but it can cause the same symptoms, and if you only did it after the 2nd time, then it or its port is still possibly the culprit.
Did you adjust the idle speed and pilot mixture screw after the 1st time, 2nd time, or both times. If it was only the 2nd time, then you can not discount this as the possible fix either because it also causes the same symptoms.
You are probably right that a port in the accelerator pump cover or float bowl was plugged, and not allowing the accelerator pump to work properly, but I'm not sure that you can completely discard the other possibilities unless they are completely separated by the 1st and 2nd time cleanings.
I'm not trying to second guess your procedure since you obviously got your bike running fine. I'm only trying to point out to others that may read this thread now or in the future that the accelerator pump is not the only thing that can cause those symptoms. Also I am recommending to everyone that if you go to the trouble to take the carb off the bike, and tear it apart, then be sure to clean and inspect everything thoroughly and in great detail, to try to avoid having to do it twice, or in some cases 3, 4, or even as many as 5 times which has been reported on here before solving the problem.
1999 Honda Rebel CMX250C
2003 Harley Sportster 883 Hugger
1998 Harley FXDWG Dyna Wide Glide
ALL IN! GO TIGERS!