We've always had to exit the safety of our bubbles to shoot our enemies, or wait for them to try to kill us from inside. But what if we didn't have to, how would that affect the game?
Edit: Suggestions say that there should be an Exotic armor/weapon that has this ability exclusively. Nice.
Also considerable: Switch that with being unseen from outside the bubble. It'd be harder to kill the Defender if you try to rush them.
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I like your second idea.