Here is a test you could try yourself, press your head hard against a normal road surface, keeping it pressed there walk along at say 5mph for 10 feet, now try doing the same with an helmet on. Now I know this test is not scientific and I am not wanting to be the person that does it.
Can I ask just as a matter of interest of course, does anyone who does not wear a helmet do the lottery?
I must say that I am all for freedom of choice and I wear a helmet.
What you are describing is similar to the 'wheelbarrow race' accident on a gritted roadsurface. The over jealous chap holding your ankles runs too fast and you lose your arms and go crashing down forehead first onto the tarmac.
The argument here is the wearing of a helmet would have saved you a lifelong scar.
The main reason cyclists wear leather mittens is to stop grit being pushed into the palm of the hand when a fall occurs. At speeds of 20mph, can it be guaranteed that the cyclist can outstretch his hand and perform a judo roll when falling off ( or being knocked off ) his bike. Probably not with clipless pedals.
The helmet can't be proved to be a 'lifesaver', but I'd rather keep my good looks if my head bounces on the pavement.