cutline I use exclusively for ‘thru’ i.e. something the same on both sides mostly scrub and wood and mostly for pipeline, power lines, aerialway, piste (ski zones), firebreak and often too have for convenience a track used by farmers and service/maint vehicles. In a way it becomes a rockface.
Embankment I see as an artificial elevation… the avalanche protection conveniently shields from falling off the artificial cliff, and knowing the local public safety constabulary, they’d put otherwise fencing up as they do around tunnel entrance and ‘cutting’. Cutting is a tag that goes on the road, at least can’t remember it having gone anywhere else. I’m unsure with the 1 sided, the other side guard rails or railing in stone as is the case here.