Maybe. But when he swings 3 or 4 times before his invulnerability goes away.. probably not. Plus, he also has a team to back him up.. infinite Gatekeepers.. they don't kneel.. they don't die by anything but a sword of crota. And LIGHT level matters more than anything when using a SoC, so, you would, yet again, do no damage to a gatekeeper even with a sword. Infinite of them do enough damage to kill as many of the Borderlands Players as it needs to.
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As I said before, But even without light you can't hurt an enemy 5 levels higher than you in destiny. Crota is really just a level 20 with light. He couldn't hurt them. Same with the gate keepers and how would crota summon infinite gatekeepers?
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Plus the experience level of those in Borderlands.. facing darkness enemies.. their experience level is 1. Because they have 0 experience facing darkness enemies.