The interests and community are large and varied enough that the release of one game's update should barely impact another game (if at all) on a pirate website. Especially since most of devs have a subscription model of some kind rather than charging the players for the individual updates/releases like a dlc or expansion.
I'd only suggest avoiding dropping something on the same day as something else if your game has some sort of strong commonalities with the other title. Like, don't release COD and Battlefield on the same day. But if you're releasing Fruit Ninja, then what day COD drops doesn't matter at all.