The asymptotic proportionality conjecture for Collatz counts

Let $T(n)$ denote the paper's count of Collatz integers in the interval $[2^n+1,2^{n+1}]$, and let $\delta(n)$ be the formula defined in the preceding discussion for the number of constructed $p\operatorname{-}C$ in that interval. Asymptotic proportionality conjecture. There is a constant such that $T(n)$ equals that constant multiplied by $\delta(n)$ as $n\to\infty$. This conjecture is motivated by numerical comparisons showing nearly identical curves for $T(n)$ and $\delta(n)$, but no proof or value of the constant is supplied.