Inspire/Gathering Fire Synergy on Karma

I think Karma is in a relatively good place. She has a lot going for her, that gives her freedom to build accordingly to how the game plays out, with deceptively high damage, decent soft CC, and a pretty great form of utility/protection that has been magnified with Windspeaker's Blessing.

My only real problem with Karma is with her E. It's a good shield/speedboost on a relatively low cooldown, but it's missing something.

Synergy.

Currently, Karma's kit revolves around using her abilities and basic attacks to keep refreshing her ultimate's cooldown... Q and W both have damage, which allow her to take a decent chunk off of her cooldown. And before some of her reworks, she had a component of R + E that allowed her to proc her passive. But now the damage component is gone, leaving us with an ability that doesn't fit into her kit completely.

Here's my thought. The shield is good, and the movement speed is good. All it needs, is the ability to aid in reducing Mantra's cooldown. And here is my thought. "Shielded ally champions proc 50% of Karma's current level of Gathering Fire on their basic attacks."

Now, it's an additional method to let Karma keep getting her cooldown reduced. Paired with an aggressive lane partner, or in the middle of a teamfight, she has the ability to further reduce her cooldown.

And it could also be implemented, that if Karma shields herself, her basic attacks and spells take 50% more time off of Mantra, so she isn't constrained to stay as support.

I'd love to hear your thoughts if you have them!