"Lets quickly recap.
Smaller sensors require more optics to focus the circle of light (Image) down to correctly cover the sensor."
- What exactly is "more optics"? Does covering APS-C image circle require a larger front elements? - No. More elements / groups? - No. More diopters - a.k.a. shorter equivalent focal length - Yes, but this does not mean "more optics". And what is "circle of light (image)"?
"Sensor size has no effect on crop factor, focal length, compression, depth of field and of course the total amount of light per pixel."
- Sensor size, in relation to other standard sensor sizes, defines crop factor, and dictates the necessary lens focal length and aperture to achieve the desired equivalent DOF and amount of light per pixel.