Both Ricoh GR IIIx HDF and Fujifilm XF10 have APS-C sized 24.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Another difference between these two cameras is that Ricoh GR IIIx HDF's sensor lacks anti-alias (Low-Pass) filter. 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 GR IIIx HDF and XF10 sensor size comparison.
Sensor Size and Resolution Comparison image of Ricoh GR IIIx HDF and Fujifilm XF10 Cameras
Ricoh GR IIIx HDF and Fujifilm XF10 have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the 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
Ricoh GR IIIx HDF
or the
Fujifilm XF10 ,
including hyperfocal distance.