Offsets are used routinely in oceanic airspace. Strategic Lateral Offset Procedure (SLOP) is used in most oceanic airspace without ATC clearance or notification. Flight randomly pick a 0NM, 1NM, or 2NM right offset. When weather deviations are necessary, flights will obtain clearances to deviate up to XXNM right or left of course. The ability to enter that offset into the FMS allows you to draw the boundary of your offset limit as you pick through the weather.
I got a domestic offset clearance last week when we needed to deviate for weather along our route but ATC had to protect military airspace.
Offset clearances were common in Afghanistan ~10 years ago (USAF controlled the airspace) to route traffic around areas of military operation. We'd receive an offset of XXNM from ABCDE fix to VWXYZ fix along our cleared airway. We'd often see a swarm of TCAS targets, we assumed mostly drones, in the area that we were offsetting around.