I see what you're trying to do, but it doesn't work. Our arguments need to be like the Doomsday argument, presented here: https://what-if.xkcd.com/65/

If most species looked at themselves and said "my species is ordinary" the majority of them would be right; however, it doesn't give you any statistical reason to think that humans are ordinary.

that was fascinating, thanks :)

The counter-intuitiveness of it all is really intriguing. We really are evolved to think in small numbers.