Conjecture B on the averaged binary Goldbach representation count

Let $\mathbb{P}$ be the set of primes, and let $r_2(n;\mathbb{P})$ denote the number of representations of $n$ as a sum of two primes; let $\varphi$ be Euler's totient function. Conjecture B. As $n$ runs through the even numbers,

$$r_2(n;\mathbb{P}) \sim \frac{n}{\varphi(n)}\frac{n}{\log(n)^2}.$$

This conjecture is motivated by an elementary combinatorial heuristic and is intended to approximate the Hardy–Littlewood prediction up to a constant factor. It does not imply the Goldbach conjecture, and the source identifies this asymptotic Goldbach statement as an open problem.