Your absence of logic is astounding. Let me put it into perspective for you, since you obviously can't.
What Evelyn has that Twitch doesn't:
- A 2 second stun.
- A large heal from each kill/assist (after level 6)
- A skill to boost movement speed
What Evelyn has that Shaco doesn't:
- A 2 second stun.
- A large heal from each kill/assist (after level 6)
- A skill to boost movement speed
- A semi AoE
- A far superior stealth
What Twitch has that Eve doesn't:
- Ranged attacks
- A slow
- A DoT (kinda)
What Shaco has that Eve doesn't:
- A fear
- A DoT
- A blink/flash
- A minion
- A ward (albeit short-lived)
So, if you weighed the differences, you would see that Shaco is more viable than Eve as a whole (at least at a higher ELO). However, that doesn't mean Eve is not good in her own right.
Shaco > Eve, based upon overall utility/usefulness.
And, to compare Eve to Twitch; Eve has a greater single-target nuking capacity than Twitch does, not to mention her self-heals and stun. Twitch has greater AoE (Unless Eve has stacked AP) and a slow.
Therefore, Eve = Twitch