Just realized, the Nikon 1 we got for Christmas for my daughter seems to have one as well... Need to test that! Still, we look at a 10 MP sensor smaller in size than a DX. Heck, the more I look at the Nikon 1 series, the more I realize to ehat extend it served as a mirrorless test bed for Nikon.

Do you expect the physical size of the sensor to have a bigger influence on this than the resolution?

Depends on the sensor, doesn't it? The more dynamic range, the more data a sensor is collecting.