The logical conclusion of this is considering all general computations that can be done with a BB calculator in hand, which leads you to the hyper BB numbers that he refers to, or BB_2.
The BB-2 used in an iterative algorithm is talking about "A busy beaver number of (A busy beaver number of 10)", no need for super machines here. The iterative algorithm is short enough you can define it in your 1000 characters, no need for additional publication.