So...this is a thing completely unrelated to Destiny, but related to the firewall.
My Campus uses the Bungie firewall for their network, and I've been trying to play League of Legends. For some reason your firewall is blocking access to League severs at seemingly random times. We've done everything we can on my end, (forwarded all ports and allowed all Legend servers) which leads me to believe it might be something on your end. Normally I'd be patient, but the season is about to end.
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So I'm taking that as a no.