If I start to annunce the currency as public and put all these premined coins in a reserve wallet that cannot be used by me but is used by a service where each user can get freely a fixed amount of these coins.
It's not a fair distribution because there will be people claiming coins more than once. Basically the one figuring out how to successfully multi-claim is coming out on top. Also since you, who launched the coin will have made the claiming-mechanism you can cheat it too.
It's just a whacky game too.
I still prefer buying from a miner where i have blockchain evidence when and how the coin was created with what difficulty and how hashrate is distributed and so on
Pow distribution is superior in transparency.
Also mining takes knowledge and costs money. It's not like the miner is getting it for free. Maybe you better look for karl-marx-coin, i think.
Here, have some free tits and be happy: https://bitcointalk.org/index.php?topic=1502314.0