People will complain about the code of conduct and again about their banning upon breaking a code of conduct. Managing a community takes a lot of time for something you're not getting paid for.
If you have a good enough product it shouldn't really matter, right? Just ban the trolls, answer questions where you can, but mainly work on the product. No one should be sifting through questions - They should be taking the most commonly asked ones, answering them, and swiftly banning those who seem unhelpful and rude. There's no way that type of moderation would kill your community unless your product just sucked enough that it didn't grow on it's own.