There seems to be a lot of odd notions and misconceptions about physics and science in this thread.
Buoyancy forces probably wouldn’t come into play here. But if there were a bunch of bubbles you’d have the effect of bubbles moving up and water buoyancy forcing you up, and the bubbles might impede that a little. But it’s nothing compared to being “in” a moving volume of water, which is what is really happening.
Due to boundary layer effects of an object in a fluid, the fluid will be affected. You see this in the reduction of pressure and turbulence behind a racecar, allowing for drafting behind another driver. One can see this in a wind tunnel experiment. It is real and observable. So there is a water the ship is displacing, and other water comes into that volume near the surface to fill it in, and yes, it will move down too. It’s a fluid.
So while there is not a suction, there is fluid movement (there is no suction force by the way…there are differences in pressure, and higher pressure regions like to reach equilibrium with lower pressure regions).
It would seem obvious that a small boat sinking would create this turbulence and ‘drag’ some fluid with it, around it. But a small boat/object would create small amounts of turbulence. A large object (cruise ship) would create large turbulence. So the experiment with a guy on a small boat would not feel much. Jacque Couseau’s son strapped himself to the bridge of a 100 foot vessel which was being purposefully sunk for artificial reaf, and maybe he felt something. But of course he had scuba gear on, so he went all the way down with it.
But there are many other factors, including weight of the vessel, shape, cavities, the way it sinks, speed etc. All these would contribute to the way the water flows around it as it sinks.
So it seems reasonable that some people observe being “sucked” down in some cases, and others don’t.
The Myth busters experiment was only valid for their case.