I have done some investigation and unfortunately this feature is not easily supported.
Please see this line of code: https://github.com/adamwong246/Desire-Paths/blob/e3a9dc1c87f04d614a22a45fe170a9c65718961d/control.lua#L295
This mod takes advantage of a hook that fires when a player moves. You can find the entire list of such events here https://lua-api.factorio.com/latest/events.html Sadly, there is no event that corresponds with the feature you are requesting. __If there were a hypothetical event, lets say, "defines.events.on_entity_changed_position" the work could proceed but since none exists, you are at a brick wall unless you petition the Wube devs for it and that is unlikely. Such a hook would not be good for the UPS at all!
With a more heroic effort, perhaps you could achieve your result but it would be quite an overhaul of this very simple mod. In order to do this, you'd need to do several things
1) create a hook that registers every existing and new entity that can possibly cause soil erosion by moving.
2) use that hook to register entities into a list
3) Every n ticks, check the items in the last for changed positions
4) if a thing has moved, chart a line from its past and present positions.
5) Make that line into a series of "degraded tiles" and add those degraded tiles to its OWN list.
6) Paint those degraded tiles over the landscape
7) Every N Ticks, remove "degraded tiles" so that the landscape gradually returns to normal AND keeping the collection within memory constraints.
Not impossible, or even really that difficult, but it would very much be an entirely new project.