From the video, it is from initial start, low RPM. My guess is that you are not getting enough gas in there to cover the opening of the butterflies. I don't know, but I believe that this is too low for the secondaries to be opening (You might be able to check with the paperclip trick and a quick stab at the throttle, but let off before it recovers). If it is the butterlies opening, it needs more gas. I would focus on the squirters and the pump cam and the adjustment of the accelerator pump.
I am not an automatic person so I don't know if the issue is just that your converter is tight for the set up you have and it needs to be able to rev past that point so it can really get flowing with that carburetor on your engine with the vacuum it has.