I predict the experiment will be a SUCCESS.
Unfortunately, that won't prove anything. Even if it's "real"quantum jitteryness, there is this thing called thermal noise. I don't think it will be possible to tell them apart. But, go on. Surprise me.
And Swarthy is right, it looks just like a pair of Micholsen-Morely devices. And if it finds something, then we have a whole lot of physics to do over again.
While I'm here, I should set out a few of these! !!! !! !!!! !!!!! !! !