Eve probably would have been better off as a Skirmisher
Mechanically: 'Terrible Early Game' and 'Jungle Assassin' are mutually exclusive attributes. However, a Skirmisher having a poor early game while transitioning into a strong mid and even stronger late gate fits just fine.
Lore-wise: Eve doesn't want to kill someone as quickly as possible. She wants to draw out the suffering. That fits the Skirmisher profile better than Assassin. It also doesn't make a great deal of sense that she's doing most of her killing while in her lure form.
Regardless of route, her sustained damage would need to go way up. That might mean the execute damage from her Ult getting the axe or even the return of her OLD old Ult, Malice and Spite. Having her go demon-mode and rip people apart with her claws via Malice and Spite would be amazing.