# Gravity braking and orbit around same body in Low energy transfers

I recently read the discussion in the question, Gravity Assist Braking that momentum degradation used while entering in the opposite direction to the body's rotation in the Hill's Sphere of that body cannot be used to make the spacecraft orbit around it.

I couldn't help but wonder about the low energy transfers (Complete low energy transfer introduced into practice during JAXA's Hiten mission and consequently in NASA's Grail and Genesis missions which utilizes Lissajous trajectories through manifolds and ideally assumes 0 $\Delta v$ for ballistic capture around the body and completion of at least 1 orbit thereafter.) Can that be related as an exception to gravity assist braking or is it a totally different case?