Hi Nick, thanks for the comments. However, the gates here precisely meet the OpenStreetMap definition of a private road. Please have a look at https://wiki.openstreetmap.org/wiki/Tag:access%3Dprivate

I visited the community myself and had to show identification and be 'buzzed in'. "Access is only with permission on an individual basis" (in the wiki).

This sounds like a data/routing problem for Suunto and Komoot to deal with in their platform.  This meets the standard of what OSM would classify as a private road. I suggest that you reach out to the developers of those applications to provide a checkbox to allow routing on private roads. As you can see in this example router on the OSM website, there is no technical issue with routing on private routes.

https://www.openstreetmap.org/directions?engine=fossgis_osrm_car&route=41.34018%2C-75.02718%3B41.32346%2C-75.05735#map=14/41.32874/-75.04177