I'm also guessing that you could just transfer your license for the dlc since downloading the dlc with another account works. Downloading the dlc with another profile essentially just gives you a new license for the dlc and links it to the new console. Of course you would only have to use that method if you don't have access to a second account.
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The sentence above is wrong.
All in all...I'm human and 28.
I'm older than I feel, and younger than I look.
Opium Dreams and Sweet Denial