I repaired the counter mechanism of the Nikon One Touch, but examination of the negatives shows the right side of the image is focusing too close.
My first impression was that the pressure plate was not holding the film due to the cassette lip being so close to the film gate. The pressure plate felt weak.
After bending the spring on the pressure plate to make it stronger, the situation was not improved.
I needed to take the camera apart again to find out what was going on...