From my experience a good shaco or lee sin tend to wreck havoc no matter what the rest of their team does and this much earlier than the other junglers mentioned here - breaking the morale early tends to win many games. They cannot guarantee kills, but most enemy junglers will be extremly careful around them. Even without flash they have everything in their kit they need to engage or to run away if outnumbered, allowing them to take more offensive summoner spells and increasing their chances of early kills even further. On top of all that they can avoid typical ward positions - checking the first items of the enemy player items usually tells you if they have bought wards and if they placed those already. The ward placement tends to be somewhat predictable, which all works in your favour.
They usually keep the kills rather than feeding their lanes and the assumption that the rest of the team will 'fail' might not a positive starting point in the first place, but that's a different issue.