Both Sony A7 and Canon R3 have Full frame sized 24.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the A7 and R3 sensor size comparison.
Sensor Size and Resolution Comparison image of Sony A7 and Canon R3 Cameras
Sony A7 and Canon R3 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
DxOMark is a benchmark that scientifically assesses image quality of camera sensors. It scores camera sensors for color depth (DXO Portrait), dynamic range (DXO Landscape) and low-light sensitivity (DXO Sports), and also gives them an overall score. Sony A7 and Canon R3 sensors have been tested by DxO and the results show that R3 has a better overall score of 96, 6 points higher compared to A7's score of 90.
Model
Overall
Color Depth
Dynamic Range
Low-light ISO
Sony A7
90
24.8 bits
14.2 Evs
2248 ISO
Canon R3
96
25.0 bits
14.7 Evs
4086 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 A7
or the
Canon R3 ,
including hyperfocal distance.