I gather from a post elsewhere that this issue is arising with a manual focus lens. It's not made clear also whether the camera is in Manual mode, but if I read information elsewhere right, I think the D810 behaves differently when in manual mode, and may not do the same exposure compensation in LV as it does in other modes. There is, apparently, a toggle of "exposure preview" done with the OK button. Could that have an effect here?
I'm basing this only on what I read, as Nikon seems unable to settle on how to handle DOF preview, and unable to write coherent instructions for whatever they decide. On the D7100, the DOF button has no effect at all in Live View, and the automatic aperture of a manual lens is also disabled. One therefore gets, from manual lenses only, a true DOF preview by adjusting the aperture. The exposure compensation of the view screen tries, with poor consistency, to keep up, rather than darkening consistently. The D3200 behaves much the same, except it has no DOF preview button. The behavior for manual lenses is the same, and for AF lenses, whatever aperture is set before entering LV passes over, so one can get a kind of "poor man's DOF preview" by switching in and out of LV at different apertures, but no DOF preview in the viewfinder. The same procedure is the only way to get a preview in Live View on the D7100.
In order for preselected apertures to carry over from viewfinder to LV, one can imagine that disabling the mechanical auto aperture would make sense, but nowhere in the manuals is it mentioned, nor is the absence of DOF preview mentioned in the D7100 manual anywhere I can see.