In Causality, Pearl writes (sect. 14. page 26) "In this book, we shall express preference toward Laplace's quasi-deterministic conception of causality and will use it [...] the Laplacian conception is more in tune with human intuition. The few esoteric quantum mechanical experiments that conflict with the predictions of the Laplacian conception evoke surprise and disbelief, and they demand

that physicists give up deeply entrenched intuitions about locality and causality (Maudlin 1994). Our objective is to preserve, explicate, and satisfy - not destroy - those intuitions."

This seems to flat out contradict established quantum mechanics results, as he admits. A relatively new field of research is trying to cross-breed Pearl's ideas with the foundations of quantum mechanics. See e.g. https://www2.perimeterinstitute.ca/videos/quantum-causal-models

Will this and related research result in crucial advances in our understanding of quantum mechanics by the end of 2027?

Subjective judgment, so I will not bet.

Mere application of Pearl's framework to physical data will not resolve YES. Only a theoretical breakthrough in QM foundations (of the size needed to advance e.g. Quantum Gravity) will.