Both Sony RX1R III and Sony A7CR have Full frame sized 61.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Another similarity between these two cameras is that both Sony A7CR and Sony RX1R III sensors lack anti-alias (Low-Pass) filters. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moiré occurring in certain scenes.
Below you can see the RX1R III and A7CR sensor size comparison.
Sensor Size and Resolution Comparison image of Sony RX1R III and Sony A7CR Cameras
Sony RX1R III and Sony A7CR have the same sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Sony RX1R III
or the
Sony A7CR ,
including hyperfocal distance.