The normalized arrival conjecture for the Collatz recurrence

Let $(a_{k,n})$ be the normalized arrival sequence defined by the recurrence described in the source, with $a_k:=1$ as its normalization, and let $a_{k,1}$ denote its value at $1$. Normalized arrival conjecture. For all $k\geq 1$, $a_{k,1}\neq 0$.

The source states that this formulation is equivalent to the Collatz conjecture. No resolution status is supplied, so it remains open here.