You know, that's a really good point, I hadn't considered that maybe virtual particles might act like a gas.
Imagine if they permeate everything and are generally nonreactive, but still have pressure and viscosity (however small). Maybe the engine is working like an airfoil, displacing the gas locally and using entrainment to create a pressure imbalance with the surrounding virtual particles to cause a larger flow (like in the Bernoulli and Coanda effects). A broken analogy would be the lift to drag ratio of a wing. If it’s 10:1, then you can lift a 1000 pound glider by pushing on the tail with just 100 pounds of thrust.
Maybe a black body is on par with light pressure because the radiation is concentrated like in a rocket, but other geometries are able to interact more strongly with the quantum foam or whatever you want to call it, because they don’t radiate energy in one direction but instead excite the foam enough that it becomes opaque to radiation and can be interacted with (like what happens when an inert gas becomes a plasma). Say the thruster excited the foam so that it was moving faster on one side of the chamber than the other, then that would work like the top and bottom of a wing (where the air on the top side moves faster) and create a pressure differential. The chamber would move to the side with the highest velocity. This might sound far fetched but there’s some evidence that the wave particle duality can be simplified to particles traveling along waves:
https://www.youtube.com/watch?v=fnUBaBdl0Aw
Probably what we’re eventually going to find is that empty space is filled with these virtual particles, weighing much less than say electrons, and because of the uncertainty principle, they are spread over large volumes. So imagine the vertices being shed off of an airliner’s wing. Even though the wing is only a few feet wide, the vortices might be 100 feet wide, so maybe if you could put special glasses on, you’d see a big vortex being shed around the chamber, and if the foam weighs orders of magnitude less than air, the vortex could be really big. It’s probably even possible to tie the size of the vortex to the “lift to drag” ratio of the chamber. Now it doesn’t seem so far fetched that the engine could work when it’s pushing off such a large number of virtual particles.