hey Chris! love your work; your right click select post is what inspired me to do my attempt at the add-on!
i’m curious about the setup that is causing you trouble. in your example, i’m guessing you are using cycles material node displacement on a subdivided mesh.
with regards to this cycles banding issue, one thing i noticed in my own tests is it seems to be the specific operation of running the tension vertex color through nodes that amplify its strength that introduces the problem (and in fact happens when manipulating any vertex colors with nodes in this way). however, i’ve found bumping up the tension strength directly in the mesh properties seems to give a more expected smooth result.
my guess is vertex colors get interpreted with at a set precision when cycles runs its node calculations on them (although its weird that eevee seems to maintain a higher precision). either way, by doing the strength multiplication when initially calculating the vertex colours, it seems to bypass the problem.
eager to hear if that in fact helps address your issue at all!
edit, just as a visual comparison, i’m attaching 2 cycles screengrabs; 1 where the tension is amplified via the strength value in the tension map properties, and the other where its amplified through node multiplication by a greater than 1 value (causing the stair stepping)