The accelerator pump only gives a squirt when you goose the gas pedal. It isn't a steady stream. Its purpose is to provide additional gas when you accelerate quickly. If you eased into the gas pedal while you drive, you won't get a squirt at all.
I am starting to think that bad gas is the culprit. In the video, when the throttle was goosed, it seemed like the accelerator pump was injecting fire retardant into the throat of the carburetor.
When I suspect bad gas, I use a small plastic outboard motor gas tank with brand new gas in it. The hose and squeeze bulb come in real handy as the hose is usually the correct size for your hard fuel line.
Carl