What if Evelynn's Hate Spike had the same passive effect as Hecarim's Rampage?

I know that wouldn't exactly balance her out, as she still needs alot of changes, (minimum damage on ult, ability to survive early without going 0/6 into mid-game)

This is what the passive effect on 's rampage so you don't need to google it if you forgot:

If Hecarim damages at least one enemy unit with this attack, he gains a stack of Rampage for 8 seconds, reducing the base cooldown of this ability by 1 second. This effect can stack up to 2 times.

I think this would help eve out alot, seeing her rampage through URF with her 80% cdr.

Just wondering what everyone else thinks.