In an airplane "load factor" is the ratio of lift generated by the wing compared to the weight. In unaccelerated flight, it will be equal to 1 (or often given as 1g). The load changes as lift generated by the wing changes.
The important point is that the load factor isn't a cause of anything, it's a result. The increase of lift from the wing causes the plane to accelerate and change the perceived value of $g$. It's not the case that load factor on a plane is changing the lift of anything.
In a plane where the only lift device is a wing, then the two are correlated. Doubling the wing lift doubles the load factor.
If you had some sort of buoyancy device, then there's no control you can apply to it. It will (within a specified altitude range) give you a nearly constant force, and that force will always be away from the ground. So it won't change the load factor on the craft. Likewise, increasing the lift from the wing won't change the buoyant force either (either in magnitude or direction). They just continue to sum together as any other set of forces do.
Of course such a hypothetical device would probably be large, and it's difficult to imagine how you'd separate out the immense drag forces (that I've ignored).
If the blimp aircraft is accelerating through the surrounding fluid (in this case air) enough to perceive 2g's then doesn't the air being moved have to experience the same acceleration?
This is a different concept. The mere fact of the aircraft's motion will cause the surrounding air to be accelerated and contribute to drag. I've been assuming that drag is constant for this craft. But it still doesn't affect the buoyancy. A craft moving forward at a constant speed and the same craft turning in a tight horizontal circle (and therefore experiencing large accelerations) will still have the same buoyant force and approximately the same drag.