What better way to create more terrorists than by laughing in their faces, publishing military operations on Twitter as if they were trivial events, showing military kill strikes on YouTube and using game like graphics stating their leaders have been "eliminated".
Do you want to enrage your enemy into more violence or do you want to win?
Do your military operations - kill terrorists or don't - protect your borders or don't - I don't frankly give a damn.
But don't give the enemy more emotional ammunition than necessary, especially since you know they will use this as perfect fodder to indoctrinate even more people to their cause - especially children. This is the stuff they'll show kids, stating "Look, do you see how they mock us! - This is why you must fight and die!". You're just setting up the next wave of violence.
This is why the US military didn't release anything to do with Osama's assassination, and buried him at sea - nothing to worship, nothing to point to, nothing to show the people you want to brainwash - and say "Look how they mock us!".
You don't poke a cornered enemy unnecessarily. The expected value of that is negative.
It's not a fucking game.