nope, you be wrong (Score 2, Informative)

The thing is that aperture size is specified as f/n, where n is the aperture number and f is the focal length, so the aperture number is not a direct measure of aperture size. Consider that a P&S digital camera uses a focal length (f) of 8 mm to give equivalent zoom as a digital SLR camera would get with a 38 mm focal length, and a 35 mm film camera would get with a 50 mm focal length. Give them all an aperture number of 6, so the aperture sizes are respectively 1.33 mm, 6.33 mm and 8.33 mm. The film and digital SLR cameras get similar depth of field, but the digital P&S camera has a much smaller aperture size, and so has much greater depth of field.

For reference, cheap digital P&S cameras typically have zoom lenses with focal lengths ranging from 3-50 mm, depending on the sensor size and zoom range. Minimum aperture numbers are usually between 2.0 and 5.6, with maximum aperture numbers rarely being larger than 8.0. Since they have such great depth of field at an aperture number of 8, they don't even bother putting on controls for smaller aperture sizes.