Jun Ma and Lin's enumeration conjecture for inversion sequences avoiding 0012

Let $\mathbf I_n(0012)$ denote the set of inversion sequences of length $n$ avoiding the pattern $0012$. Jun Ma and Lin's conjecture. For $n\geq 1$, we have

$$|\mathbf I_n(0012)|=1+\sum_{i=1}^{n-1}{2i\choose i-1}.$$

In other words, the unbalanced Wilf-equivalence

$$(0012)\thicksim(021,120)$$

holds. The source presents this as a conjectured enumeration related to OEIS sequence A279561 and gives no indication that it has been resolved.