Ok so fair release is obviously a big deal without a premine - could you explain more about how to get a transparent chain with privacy?
You can't really get a huge market cap early on - the coin would have to grow - technically every single coin starts with a market cap of 0.
You got down to the core pretty quick! Yes, obviously the "Wants In A Coin" are mutually exclusive.
Mixing is a parameter of Cryptonote coins (XMR, BBR, ++) but basically if a coin allows "high privacy" in transactions, you imediately get all of the drawbacks in an instant. Block explorers are then futile.
Means you cannot reliably do developer fundings using a publically visible adress and such. ICOs. Reasonable premines (Premine isn't bad per se, it depends upon size) and control when they are utilized.
Some coins reached top rankings by providing 28,989,252,282 or even 192,460,096,981 coins and then later accumulating value like $ 0.000002 a coin. Seems the market is reluctant to catch up there, if numbers are inside those regions.
Still, 10millions of BTC are a tad smallish on the long run. I think a thousand dollars a coin is a psychological barrier that will not get stretched further. So Coinmarketcap gets designed by possible coin supply early onwards.
Just some ramblings. Pick up what inspires you, and others are invited to brainstorm, too.