Both Sony RX10 III and Panasonic FZ2500 have 1″ sized 20.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the RX10 III and FZ2500 sensor size comparison.
Sensor Size and Resolution Comparison image of Sony RX10 III and Panasonic FZ2500 Cameras
Sony RX10 III and Panasonic FZ2500 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.
DxOMark Sensor Scores
At Camera Decision, we also look at Dxo Mark sensors when available as we think it is a good indicator of image quality.
Model
Overall
Color Depth
Dynamic Range
Low-light ISO
Sony RX10 III
70
23.1 bits
12.6 Evs
472 ISO
Panasonic FZ2500
70
23.0 bits
12.6 Evs
538 ISO
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 RX10 III
or the
Panasonic FZ2500 ,
including hyperfocal distance.