"The Q-S1 also has a max aperture of f/8, which can make it difficult to control depth of field. This is more restrictive than many cameras that have a max aperture of f/20 or more for greater depth of field."
1) Max aperture is usually the smaller number (ex, f2.8), not the larger number because the f system is about a ratio between aperture and focal length, not the aperture diameter itself. The smaller the f number, the larger the physical aperture
2) Each lens has it's own min aperture (which you call max) and it's not determined by the camera. It ranges from f5.6 to f9
2) The Q's sensor is so small that it's max aperture of f8 is already microscopic compared to any DSLR. In actuality, it's f8 is smaller physically than f32 on a 35mm film camera (or FF DSLR) and plenty tiny for maximizing depth of field in nearly all conditions. The physical aperture controls the depth of field, not the native format f-stop.
3) f8 is basically at the diffraction limit for this resolution. Suggesting the lenses need to support a smaller aperture is... wrong.