Currently Thruster does not gain any bonus from heart of inmost light other than the enhanced ability regeneration that everything has by default. Considering how good the exotic feels on Arc 3.0, this lack of synergy is kinda sad.
Ideas for interaction include,
-Further enhanced ability regen.
-Better travel distance and/or speed.
-Damage resistance during thruster.
-Thruster granting amplified (greater duration for two stacks of empowered).
I know this is a pretty big change for an exotic and may be a lot of hoopla development wise but it's an addition I would LOVE to see.
Thanks for reading!
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Just enjoy heart of inmost light before bungie nerfs it into the ground