Motic-descendant degree conjecture for Feynman amplitudes

Let $G$ be a Feynman graph with $h$ loops in $d\in 2\mathbb{N}$ space-time dimensions, and suppose that $G$ satisfies the weight bound conjecture for momentum-space Feynman amplitudes. A motic descendant of $G$ is a descendant graph in the motic graph construction, and its degree is measured in that construction.

Motic-descendant degree conjecture. The amplitude of $G$ is a regularised period of motic descendants of $G$ of degree at most $dh$.

The source presents this as a consequence expected from the weight bound conjecture combined with the stability conjecture. Its status is not resolved in the supplied text.