Finite generation conjecture for adjoint rings with a pseudo-effective canonical divisor

Let $(X,\Delta)$ be a projective klt pair such that $K_X+\Delta$ is pseudo-effective, and let $A$ be an ample $\mathbb{Q}$-divisor on $X$. The finite generation conjecture. The adjoint ring

$$R(X;K_X+\Delta,K_X+\Delta+A)$$

is finitely generated.

The source presents this as a weaker conjecture than finite generation for arbitrary collections of klt adjoint divisors, and states that it would imply unconditional termination of flips with scaling and the abundance conjecture. No resolution is given in the supplied text.