Motion blurring is from slow shutter speed.
Although everything is in focus with a pinhole camera, everything is also "blurry" because of diffraction, especially with a high-res detector or fine-grain film. When light passes next to an edge, it's distorted. The smaller your hole, the more edge light relative to no edge. I'm probably not saying that clearly, but just know when your aperture closes down, diffraction will ruin your image. With modern CMOS sensors diffraction will start to become visible anywhere in the f/4 to f/16 range depending on pixel size. As an example, take a pinhole of 1/32" put on the front of your DSLR camera which would be approximately 2" away from the sensor. 2 divided by 1/32 = f/64 which would give mega diffraction. Move the pinhole to 4" and you have f/128 - not to mention the distortion because there is no actual lens, but that's another matter altogether.
Pinhole cameras do much better with low resolution large format film/sensor because of the incredibly slow f-ratios.