Ma–Chen–Wu asymptotic conjecture for truncated primes represented by the floor function

Let $0<\theta\leq 1$ be real, and let $\pi_{\theta}(x)$ denote the number of integers $n$ with $1\leq n\leq x^{\theta}$ such that $\left\lfloor x/n\right\rfloor$ is prime. For a given integer $L\geq 1$, Ma–Chen–Wu's conjecture. For any $0<\theta<1$,

$$\pi_{\theta}(x)=\sum_{k=1}^{L}\frac{(-1)^{k-1}(k-1)!}{(1-\theta)^k}\frac{x^{\theta}}{(\log x)^k}+O\left(\frac{x^{\theta}}{(\log x)^{L+1}}\right).$$

This conjecture extends the known asymptotic formula for $\pi_{\theta}(x)$ in the range $23/47<\theta<1$ to every fixed $0<\theta<1$, with an arbitrarily long logarithmic expansion. The supplied text does not state whether the conjecture has been resolved.