Boundedness conjecture for slc stable minimal models

Let $d\in\mathbb N$, let $\Phi\subset \mathbb Q^{\ge 0}$ be a DCC set, and let $\sigma\in\mathbb Q[t]$ be a polynomial. The family $\mathcal S_{\rm slc}(d,\Phi,\sigma)$ consists of the slc stable minimal models with the indicated dimension, coefficient set, and numerical data.

Boundedness conjecture for slc stable minimal models. The family

$$\mathcal S_{\rm slc}(d,\Phi,\sigma)$$

is bounded.

The question is posed after discussing generalisations of the moduli theorem, including arbitrary base schemes, real coefficients, marked divisors, and relative stable minimal models. The source also notes that the family can be empty for some choices of data; the conjecture concerns boundedness when the family is defined.