CMC power is so strong that coin developers list their coin on CMC before adding it to an exchange.
I am pretty sure that the quoted part is not correct. I remember reading about their listing requirements in the past. To be listed on CMC your coin has to be publicly traded on an exchange with a decent daily trading volume. I am not sure of the volumes but the info can probably be found in CMC docs.
Also, I think you missed Coinpaprika for your list.
https://coinpaprika.com/