Getting paid means the mod has been vetted, is (presumably) being supervised in some way or reporting to someone, and thus is expected to adhere to some standard or protocol (however loose it might be). Getting paid comes with rules of the job and that alone makes paid moderation far more structured and with more potential for effectiveness than unpaid moderation.
"He who pays the piper calls the tune."
So if the boss wants good moderation as Ycombinator does, fine.
If not, you get X.