Yamada's proposal of treating as 'dense Huang scattering' the diffuse quasi-elastic intensities found in systems with distortive centres (=elastic dipoles) in each lattice cell is extended to a group of hexagonal cooperative Jahn-Teller compounds, with new experimental results available for one of them, CsCuCl₃. This proposal is put on firm ground by identifying 'dense Huang scattering' as the central component of the q- and omega -dependent neutron scattering cross section, which is calculated for the elastic dipoles in their elastic medium in terms of the three acoustic modes coupled to relaxing pseudo-spins. Phonon softening and the sign and size of strain-induced dipole interactions for possible ground state structures are calculated.