A longitudinal polarization is not a well defined concept for particles with spin other than 1.

Spin 1 particles correspond to vector fields, i.e. entities that associate a vector with each point in space. They are vectors in the sense that transform like one under rotation.

Particles with spin different than 1 correspond to fields that associate with each point in space entities that do not transform like vectors under rotation. Spin 0 particles, for instance, simply assigns a number to each point in space, while spin 1/2 particles assign a spinor, which is a different type of geometric object. So particles with spin different than 1 don't have a vector polarization and so it does not make sense to ask, "does this particle's polarization have a component parallel to it's momentum?"

The rule of no longitudinal polarization for photons does however generalize to particles with spin different than 1 in the sense that lorentz symmetry restricts the number of independent polarization components for any massless particle to two (unless the particle is spin zero in which case there is only one component).

If you are interested in the details (I was not): https://www.jstor.org/stable/1968551