I did a quick AF comparison of the Olympus 45mm F1.8 and the Nikon 1 32mm F1.2. The lenses were used on an Olympus OM-D E-M10 and Nikon 1 V1 respectively. You can watch the video on YT: https://youtu.be/VIyhKmf4YvI
There doesn't seem to be much of difference between the AF speed of the Olympus 45mm F1.8 and Nikon 1 32mm F1.2, regardless of the lighting conditions. Of course, cameras also play their part in regard to AF performance, so this test could look a lot different, if the lenses were used on latest and greatest micro 4/3 and Nikon 1 cameras (say Olympus OM-D E-M1II and Nikon 1 V3). Also, since both cameras use contrast AF (Nikon 1 V1 in low light), how fast they will focus also depends on the contrast in the scene and whether you as a user can identify high contrast edges and aim with the AF box in the direction of those high contrast edges.
There doesn't seem to be much of difference between the AF speed of the Olympus 45mm F1.8 and Nikon 1 32mm F1.2, regardless of the lighting conditions. Of course, cameras also play their part in regard to AF performance, so this test could look a lot different, if the lenses were used on latest and greatest micro 4/3 and Nikon 1 cameras (say Olympus OM-D E-M1II and Nikon 1 V3). Also, since both cameras use contrast AF (Nikon 1 V1 in low light), how fast they will focus also depends on the contrast in the scene and whether you as a user can identify high contrast edges and aim with the AF box in the direction of those high contrast edges.