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Unlike galactic rotation curves in which the observed boosted accelerations can, in principle, be attributed to dark matter in the Newton-Einstein standard gravity, wide binary dynamics cannot be affected by it even if it existed. The standard gravity simply breaks down in the weak acceleration limit in accordance with the MOND framework.

Implications of wide binary dynamics are profound in astrophysics, theoretical physics, and cosmology. Anomalies in Mercury's orbits observed in the nineteenth century eventually led to Einstein's general relativity.

Now anomalies in wide binaries require a new theory extending general relativity to the low acceleration MOND limit

https://phys.org/news/2023-08-smoking-gun-evidence-gravity-gaia-wide.html