So let's do a thought experiment really quick to make sure my brain is working.
Two parallel, vertical, perfectly reflective mirrors are a distance apart. One has a tiny hole drilled through to allow a TINY laser beam to enter between the two mirrors that is perfectly horizontal.
With straight light, it will go straight to the other mirror, hit it at at a perpendicular, and reflect straight back upon itself.
With bendy light, it would have bent slightly, and finding the tangent line at the point it hits the mirror, we could calculate the angle at which it would reflect off the mirror. This angle would NOT reflect the light off horizontally, so the angle that the tangent line of the curve hits the mirror at should increase with each reflection.
You should look at the diagram of the experiment I proposed. In Parsifal's model of light, light bends with an even function to the vertical, such as y=A*x^(4/3). If you assume that the light path follows this equation, all you need is for the second mirror to be perpendicular to the path of the light, and it will reflect the light right back to its source. The light in this model does not bend with some constant curvature as it travels away from its source. If it is emitted at some angle to the horizontal, its curvature after traveling some horizontal distance will be much less than if it is directed horizontally.
I get that if you had them bent slightly, it would send it right back. But the degree that you would have to bend the mirrors at would be pretty small over a short distance. With reflection back and forth, the light would bend each time if light were bendy, and giving it a slight start at a downward angle, straight light would continue bouncing back and forth downward with even and constant gaps between hits. Bendy light would start at a slightly downward angle and be accelerated to bend upwards, decreasing the angle it would bend each time until it was horizontal, and at that point it would turn around and begin to back up between the two mirrors.
When I get my photoshop working a bit better I'll be able to show what I mean more clearly.
There would be no cumulative deviation from the path. Just take for example a parabola (or any even function). Draw two perpendicular lines anywhere along it. If the light bounces between those two mirrors it will stay on the same path forever, if it is following that path. Of course the physical reason for it following some random even function path is not being discussed here, only how it would be observed if it did. I believe that someone is working on a theory of Electromagnetic Acceleration, but until I see it I have no way to critique. Until then I can only deal with observations and speculate what kind of model they might fit.
I'm talking about parallel mirrors, you're talking about mirrors aligned with the curve of bendy light.
With the curved mirrors, they'd have to be a decent distance apart to get a good idea of the curve of light, and then any adjustments made to the mirrors could be chalked up to either:
a. bendy light, or
b. earth is round, so straight light has to be bent.
At least, until we go and flip your rig, which changes the whole thing.
My experiment would involve two much closer, parallel, vertical mirrors.