Point-independence conjecture at primitive points

Let $\beta$ be a curve class, let $(S,E)$ be general with respect to $\beta$, and let $P,P'\in E(\beta)$ be $\beta$-primitive points. Primitive-point independence conjecture.

$$m^P_\beta=m^{P'}_\beta.$$

This is a special case concerning primitive points, for which the log BPS number equals the maximally tangent curve count. The source presents it as a special case of the broader point-independence conjecture.