Ricoh GR III has a 24.0MP APS-C (23.5 x 15.6 mm ) sized CMOS sensor . On the other hand, Fujifilm X100T has a 16.0MP APS-C (23.6 x 15.8 mm ) sized CMOS X-TRANS II sensor and features EXR Processor II processor.
Ricoh GR III's sensor provides 8MP more than Fujifilm X100T's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Another difference between these two cameras is that Ricoh GR III'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 moire occurring in certain scenes.
Below you can see the GR III and X100T sensor size comparison.
Ricoh GR III and Fujifilm X100T have almost the same sensor size so none of them has any significant advantage over other in providing control over depth of field when used with same focal length and aperture.