On a fixed platform the lift usually runs up the outside of the structure, connecting the cellar deck, the process decks, the accommodation and sometimes a boat landing. On an FPSO or a vessel it may run inside the hull or the accommodation block. On an offshore wind substation it connects the boat landing and access platform to the topside equipment deck. In each case the job description is the same and the engineering problem is not.
The difference is that a building elevator is installed into a purpose-built, rigid, dry, unclassified shaft, and an offshore elevator is installed onto a structure that was designed to do something else, that moves, that sits in salt spray for its entire life, and that may have a classified hazardous area somewhere along the route. The equipment ends up looking superficially similar and being specified from a different starting point.
The other difference is consequence. When a lift in an office building is out of service people take the stairs. When a lift on a platform is out of service, crew carry tools and spares up long stair runs in weather, planned maintenance slips, and the route you would use to move an injured person is gone. That is why availability, spares holding and the supplier's ability to mobilise an engineer offshore carry more weight in the selection than they would onshore.