The SBP and muti-beam bathymetric data acquired by AVU show that the dposits within the area of hyraulic jump are almost formed by the slumps which have the same characterictics with MTDs.
What is the clast size range of your deposits? Can you show an example of the seismic data with slumps?
Cyclic steps are normally described for mud to sand deposits (see the work of Cartigny and collaborators here: https://scholar.google.com/scholar?oi=gsb95&q=cartigny%20cyclic%20steps&lookup=0&hl=en).
It is really interesenting if you see structures that are compatible with slumps in your seismic data because published seismic data from cyclic steps do not show these (as far as I am aware). Slumping is probably uncommon due to the relativelly low slope gradient of cyclic steps. Crescent shaped bedforms consisting of gravelly sand deposits could be different though (see recent paper from MBARI and collaborators here: www.nature.com/articles/s41467-018-06254-6 and Article High-resolution bathymetry of the axial channels within Mont...
).
If the steps of your case study have comparatively high-slope gradients you might be interested in a paper I have currently under review: https://eartharxiv.org/xz3hs/