OM System OM-1 II has a
20.0MP Four Thirds (17.4 x 13 mm ) sized Stacked BSI Live MOS Sensor sensor . On the other hand, Leica D-Lux 7 has a
17.0MP Four Thirds (17.3 x 13 mm ) sized CMOS sensor .
Another difference between these two cameras is that OM System OM-1 II'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 OM-1 Mark II and D-Lux 7 sensor size comparison.
Sensor Size and Resolution Comparison image of OM System OM-1 II and Leica D-Lux 7 Cameras
OM System OM-1 II and Leica D-Lux 7 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
OM System OM-1 II
or the
Leica D-Lux 7 ,
including hyperfocal distance.