You can get booted when other players have an unstable connection and the P2P collapses. I know this well enough, because I have a supreme connection (1 gigabit, ultralow ping) and still get kicked.
And this week is double infamy -> more players with unstable connection.
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That probably is the answer. Because since the reset i have the same problem over and over again. I only have 100mb (and low ping) but it should be enough. I fear the days after destiny become free to play.