Drivee,
Well, I don't think I will need to see the video.
I think your carburetor TRANSITION orifices may be clogged with deposits that formed as the carb sat with fuel in the float chamber.
At the top of the carburetor "throat", near the throttle plate, are very small holes where the fuel comes out.
One hole is behind the plate so that fuel can enter the engine when the plate is closed.
That hole is the idle or "low speed" orifice.
As the plate is rotated open, it exposes more holes further forward in the throat.
The hole that is farthest forward, away from the plate is the "high speed" orifice.
The two holes between the idle or low speed orifice and the high speed orifice are called the "transition" orifices.
You say it runs ok at idle and it runs ok full throttle. But it doesn't run well in between.
That tells me the orifices that allow fuel to flow as the throttle is rotated from idle but has not opened enough for full fuel to flow from the high speed circuit are not spraying fuel.
The bottom line is that your carburetor needs to be thoroughly cleaned.
These carburetors do not tolerate tiny particles from the fuel.
Most fuel has a little moisture in it. If the fuel has alcohol then there will be more moisture. Moisture carries mineral particles and those particles will try to clog the very small passageways and orifices in the carburetor.
Storing the outboard with fuel in the carburetor exacerbates this problem and can plug a carb from one season to the next.
A good cleaning of your carburetor should restore full performance.
